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Finding the Fourth Proportional to 8,257.86, 12,358.02 and 6,759.78

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Solution

The fourth proportional to 8,257.86, 12,358.02 and 6,759.78 is: 10,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.86 : 12,358.02 = 6,759.78 : x
  2. Step 2: Convert to fraction form
    8,257.86/12,358.02 = 6,759.78/x
  3. Step 3: Cross multiply
    8,257.86x = 12,358.02 × 6,759.78
  4. Step 4: Simplify right side
    8,257.86x = 83,537,496.44
  5. Step 5: Solve for x
    x = 83,537,496.44/8,257.86
  6. Step 6: Final answer
    x = 10,116.12

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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.