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Finding the Fourth Proportional to 11,662,653.38, 16,097,662.71 and 6,769,451.91

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Solution

The fourth proportional to 11,662,653.38, 16,097,662.71 and 6,769,451.91 is: 9,343,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662,653.38 : 16,097,662.71 = 6,769,451.91 : x
  2. Step 2: Convert to fraction form
    11,662,653.38/16,097,662.71 = 6,769,451.91/x
  3. Step 3: Cross multiply
    11,662,653.38x = 16,097,662.71 × 6,769,451.91
  4. Step 4: Simplify right side
    11,662,653.38x = 108,972,353,639,111.52
  5. Step 5: Solve for x
    x = 108,972,353,639,111.52/11,662,653.38
  6. Step 6: Final answer
    x = 9,343,701.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.