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Finding the Fourth Proportional to 10,573.62, 14,593.15 and 6,096.50

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Solution

The fourth proportional to 10,573.62, 14,593.15 and 6,096.50 is: 8,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.62 : 14,593.15 = 6,096.50 : x
  2. Step 2: Convert to fraction form
    10,573.62/14,593.15 = 6,096.50/x
  3. Step 3: Cross multiply
    10,573.62x = 14,593.15 × 6,096.50
  4. Step 4: Simplify right side
    10,573.62x = 88,967,035.53
  5. Step 5: Solve for x
    x = 88,967,035.53/10,573.62
  6. Step 6: Final answer
    x = 8,414.06

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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.