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Finding the Fourth Proportional to 8,238.92, 12,370.72 and 7,131.76

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Solution

The fourth proportional to 8,238.92, 12,370.72 and 7,131.76 is: 10,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.92 : 12,370.72 = 7,131.76 : x
  2. Step 2: Convert to fraction form
    8,238.92/12,370.72 = 7,131.76/x
  3. Step 3: Cross multiply
    8,238.92x = 12,370.72 × 7,131.76
  4. Step 4: Simplify right side
    8,238.92x = 88,225,006.07
  5. Step 5: Solve for x
    x = 88,225,006.07/8,238.92
  6. Step 6: Final answer
    x = 10,708.32

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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.