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Finding the Fourth Proportional to 10,685.17, 16,023.65 and 3,663.07

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Solution

The fourth proportional to 10,685.17, 16,023.65 and 3,663.07 is: 5,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.17 : 16,023.65 = 3,663.07 : x
  2. Step 2: Convert to fraction form
    10,685.17/16,023.65 = 3,663.07/x
  3. Step 3: Cross multiply
    10,685.17x = 16,023.65 × 3,663.07
  4. Step 4: Simplify right side
    10,685.17x = 58,695,793.67
  5. Step 5: Solve for x
    x = 58,695,793.67/10,685.17
  6. Step 6: Final answer
    x = 5,493.20

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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.