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Finding the Fourth Proportional to 8,302.32, 12,472.92 and 7,135.92

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Solution

The fourth proportional to 8,302.32, 12,472.92 and 7,135.92 is: 10,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.32 : 12,472.92 = 7,135.92 : x
  2. Step 2: Convert to fraction form
    8,302.32/12,472.92 = 7,135.92/x
  3. Step 3: Cross multiply
    8,302.32x = 12,472.92 × 7,135.92
  4. Step 4: Simplify right side
    8,302.32x = 89,005,759.29
  5. Step 5: Solve for x
    x = 89,005,759.29/8,302.32
  6. Step 6: Final answer
    x = 10,720.59

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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.