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Finding the Fourth Proportional to 7,143.57, 10,694.61 and 5,395.86

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Solution

The fourth proportional to 7,143.57, 10,694.61 and 5,395.86 is: 8,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.57 : 10,694.61 = 5,395.86 : x
  2. Step 2: Convert to fraction form
    7,143.57/10,694.61 = 5,395.86/x
  3. Step 3: Cross multiply
    7,143.57x = 10,694.61 × 5,395.86
  4. Step 4: Simplify right side
    7,143.57x = 57,706,618.31
  5. Step 5: Solve for x
    x = 57,706,618.31/7,143.57
  6. Step 6: Final answer
    x = 8,078.12

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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.