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Finding the Fourth Proportional to 10,024.71, 15,025.93 and 5,084.14

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Solution

The fourth proportional to 10,024.71, 15,025.93 and 5,084.14 is: 7,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.71 : 15,025.93 = 5,084.14 : x
  2. Step 2: Convert to fraction form
    10,024.71/15,025.93 = 5,084.14/x
  3. Step 3: Cross multiply
    10,024.71x = 15,025.93 × 5,084.14
  4. Step 4: Simplify right side
    10,024.71x = 76,393,966.21
  5. Step 5: Solve for x
    x = 76,393,966.21/10,024.71
  6. Step 6: Final answer
    x = 7,620.56

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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.