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Finding the Fourth Proportional to 10,781.01, 16,171.52 and 6,402.15

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Solution

The fourth proportional to 10,781.01, 16,171.52 and 6,402.15 is: 9,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.01 : 16,171.52 = 6,402.15 : x
  2. Step 2: Convert to fraction form
    10,781.01/16,171.52 = 6,402.15/x
  3. Step 3: Cross multiply
    10,781.01x = 16,171.52 × 6,402.15
  4. Step 4: Simplify right side
    10,781.01x = 103,532,464.76
  5. Step 5: Solve for x
    x = 103,532,464.76/10,781.01
  6. Step 6: Final answer
    x = 9,603.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.