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Finding the Fourth Proportional to 10,571.24, 15,857 and 5,025.14

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Solution

The fourth proportional to 10,571.24, 15,857 and 5,025.14 is: 7,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.24 : 15,857 = 5,025.14 : x
  2. Step 2: Convert to fraction form
    10,571.24/15,857 = 5,025.14/x
  3. Step 3: Cross multiply
    10,571.24x = 15,857 × 5,025.14
  4. Step 4: Simplify right side
    10,571.24x = 79,683,644.98
  5. Step 5: Solve for x
    x = 79,683,644.98/10,571.24
  6. Step 6: Final answer
    x = 7,537.78

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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.