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Finding the Fourth Proportional to 11,165.38, 15,406.47 and 6,448.75

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Solution

The fourth proportional to 11,165.38, 15,406.47 and 6,448.75 is: 8,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.38 : 15,406.47 = 6,448.75 : x
  2. Step 2: Convert to fraction form
    11,165.38/15,406.47 = 6,448.75/x
  3. Step 3: Cross multiply
    11,165.38x = 15,406.47 × 6,448.75
  4. Step 4: Simplify right side
    11,165.38x = 99,352,473.41
  5. Step 5: Solve for x
    x = 99,352,473.41/11,165.38
  6. Step 6: Final answer
    x = 8,898.26

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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.