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Finding the Fourth Proportional to 8,264.69, 12,406.28 and 5,496.78

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Solution

The fourth proportional to 8,264.69, 12,406.28 and 5,496.78 is: 8,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.69 : 12,406.28 = 5,496.78 : x
  2. Step 2: Convert to fraction form
    8,264.69/12,406.28 = 5,496.78/x
  3. Step 3: Cross multiply
    8,264.69x = 12,406.28 × 5,496.78
  4. Step 4: Simplify right side
    8,264.69x = 68,194,641.74
  5. Step 5: Solve for x
    x = 68,194,641.74/8,264.69
  6. Step 6: Final answer
    x = 8,251.33

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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.