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Finding the Fourth Proportional to 10,572.42, 14,593.20 and 6,099.18

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Solution

The fourth proportional to 10,572.42, 14,593.20 and 6,099.18 is: 8,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.42 : 14,593.20 = 6,099.18 : x
  2. Step 2: Convert to fraction form
    10,572.42/14,593.20 = 6,099.18/x
  3. Step 3: Cross multiply
    10,572.42x = 14,593.20 × 6,099.18
  4. Step 4: Simplify right side
    10,572.42x = 89,006,553.58
  5. Step 5: Solve for x
    x = 89,006,553.58/10,572.42
  6. Step 6: Final answer
    x = 8,418.75

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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.