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Finding the Fourth Proportional to 11,630.65, 16,044.64 and 6,911.59

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Solution

The fourth proportional to 11,630.65, 16,044.64 and 6,911.59 is: 9,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.65 : 16,044.64 = 6,911.59 : x
  2. Step 2: Convert to fraction form
    11,630.65/16,044.64 = 6,911.59/x
  3. Step 3: Cross multiply
    11,630.65x = 16,044.64 × 6,911.59
  4. Step 4: Simplify right side
    11,630.65x = 110,893,973.38
  5. Step 5: Solve for x
    x = 110,893,973.38/11,630.65
  6. Step 6: Final answer
    x = 9,534.63

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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.