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Finding the Fourth Proportional to 10,568.28, 15,857.82 and 5,374.14

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Solution

The fourth proportional to 10,568.28, 15,857.82 and 5,374.14 is: 8,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.28 : 15,857.82 = 5,374.14 : x
  2. Step 2: Convert to fraction form
    10,568.28/15,857.82 = 5,374.14/x
  3. Step 3: Cross multiply
    10,568.28x = 15,857.82 × 5,374.14
  4. Step 4: Simplify right side
    10,568.28x = 85,222,144.77
  5. Step 5: Solve for x
    x = 85,222,144.77/10,568.28
  6. Step 6: Final answer
    x = 8,063.96

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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.