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Finding the Fourth Proportional to 7,138.48, 10,708.92 and 2,458.30

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Solution

The fourth proportional to 7,138.48, 10,708.92 and 2,458.30 is: 3,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.48 : 10,708.92 = 2,458.30 : x
  2. Step 2: Convert to fraction form
    7,138.48/10,708.92 = 2,458.30/x
  3. Step 3: Cross multiply
    7,138.48x = 10,708.92 × 2,458.30
  4. Step 4: Simplify right side
    7,138.48x = 26,325,738.04
  5. Step 5: Solve for x
    x = 26,325,738.04/7,138.48
  6. Step 6: Final answer
    x = 3,687.86

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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.