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Finding the Fourth Proportional to 10,402.77, 15,593.34 and 6,657.20

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Solution

The fourth proportional to 10,402.77, 15,593.34 and 6,657.20 is: 9,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.77 : 15,593.34 = 6,657.20 : x
  2. Step 2: Convert to fraction form
    10,402.77/15,593.34 = 6,657.20/x
  3. Step 3: Cross multiply
    10,402.77x = 15,593.34 × 6,657.20
  4. Step 4: Simplify right side
    10,402.77x = 103,807,905.08
  5. Step 5: Solve for x
    x = 103,807,905.08/10,402.77
  6. Step 6: Final answer
    x = 9,978.87

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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.