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Finding the Fourth Proportional to 7,139.31, 10,713.81 and 2,522.31

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Solution

The fourth proportional to 7,139.31, 10,713.81 and 2,522.31 is: 3,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.31 : 10,713.81 = 2,522.31 : x
  2. Step 2: Convert to fraction form
    7,139.31/10,713.81 = 2,522.31/x
  3. Step 3: Cross multiply
    7,139.31x = 10,713.81 × 2,522.31
  4. Step 4: Simplify right side
    7,139.31x = 27,023,550.10
  5. Step 5: Solve for x
    x = 27,023,550.10/7,139.31
  6. Step 6: Final answer
    x = 3,785.18

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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.