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Finding the Fourth Proportional to 7,139.68, 10,711.70 and 3,194.24

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Solution

The fourth proportional to 7,139.68, 10,711.70 and 3,194.24 is: 4,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.68 : 10,711.70 = 3,194.24 : x
  2. Step 2: Convert to fraction form
    7,139.68/10,711.70 = 3,194.24/x
  3. Step 3: Cross multiply
    7,139.68x = 10,711.70 × 3,194.24
  4. Step 4: Simplify right side
    7,139.68x = 34,215,740.61
  5. Step 5: Solve for x
    x = 34,215,740.61/7,139.68
  6. Step 6: Final answer
    x = 4,792.34

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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.