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Finding the Fourth Proportional to 7,138.75, 10,708.84 and 2,458.15

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Solution

The fourth proportional to 7,138.75, 10,708.84 and 2,458.15 is: 3,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.75 : 10,708.84 = 2,458.15 : x
  2. Step 2: Convert to fraction form
    7,138.75/10,708.84 = 2,458.15/x
  3. Step 3: Cross multiply
    7,138.75x = 10,708.84 × 2,458.15
  4. Step 4: Simplify right side
    7,138.75x = 26,323,911.35
  5. Step 5: Solve for x
    x = 26,323,911.35/7,138.75
  6. Step 6: Final answer
    x = 3,687.47

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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.