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Finding the Fourth Proportional to 7,138.80, 10,708.20 and 5,498.55

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Solution

The fourth proportional to 7,138.80, 10,708.20 and 5,498.55 is: 8,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.80 : 10,708.20 = 5,498.55 : x
  2. Step 2: Convert to fraction form
    7,138.80/10,708.20 = 5,498.55/x
  3. Step 3: Cross multiply
    7,138.80x = 10,708.20 × 5,498.55
  4. Step 4: Simplify right side
    7,138.80x = 58,879,573.11
  5. Step 5: Solve for x
    x = 58,879,573.11/7,138.80
  6. Step 6: Final answer
    x = 8,247.83

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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.