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Finding the Fourth Proportional to 10,524.14, 15,709.17 and 9,278.62

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Solution

The fourth proportional to 10,524.14, 15,709.17 and 9,278.62 is: 13,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.14 : 15,709.17 = 9,278.62 : x
  2. Step 2: Convert to fraction form
    10,524.14/15,709.17 = 9,278.62/x
  3. Step 3: Cross multiply
    10,524.14x = 15,709.17 × 9,278.62
  4. Step 4: Simplify right side
    10,524.14x = 145,759,414.47
  5. Step 5: Solve for x
    x = 145,759,414.47/10,524.14
  6. Step 6: Final answer
    x = 13,850.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.