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Finding the Fourth Proportional to 8,278.92, 12,418.34 and 5,824.70

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Solution

The fourth proportional to 8,278.92, 12,418.34 and 5,824.70 is: 8,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.92 : 12,418.34 = 5,824.70 : x
  2. Step 2: Convert to fraction form
    8,278.92/12,418.34 = 5,824.70/x
  3. Step 3: Cross multiply
    8,278.92x = 12,418.34 × 5,824.70
  4. Step 4: Simplify right side
    8,278.92x = 72,333,105.00
  5. Step 5: Solve for x
    x = 72,333,105.00/8,278.92
  6. Step 6: Final answer
    x = 8,737.02

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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.