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Finding the Fourth Proportional to 8,393.76, 12,589.80 and 5,105.76

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Solution

The fourth proportional to 8,393.76, 12,589.80 and 5,105.76 is: 7,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.76 : 12,589.80 = 5,105.76 : x
  2. Step 2: Convert to fraction form
    8,393.76/12,589.80 = 5,105.76/x
  3. Step 3: Cross multiply
    8,393.76x = 12,589.80 × 5,105.76
  4. Step 4: Simplify right side
    8,393.76x = 64,280,497.25
  5. Step 5: Solve for x
    x = 64,280,497.25/8,393.76
  6. Step 6: Final answer
    x = 7,658.13

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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.