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Finding the Fourth Proportional to 10,553.28, 14,565.53 and 6,781.21

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Solution

The fourth proportional to 10,553.28, 14,565.53 and 6,781.21 is: 9,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.28 : 14,565.53 = 6,781.21 : x
  2. Step 2: Convert to fraction form
    10,553.28/14,565.53 = 6,781.21/x
  3. Step 3: Cross multiply
    10,553.28x = 14,565.53 × 6,781.21
  4. Step 4: Simplify right side
    10,553.28x = 98,771,917.69
  5. Step 5: Solve for x
    x = 98,771,917.69/10,553.28
  6. Step 6: Final answer
    x = 9,359.36

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