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Finding the Fourth Proportional to 8,170.24, 12,229.44 and 5,854.72

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Solution

The fourth proportional to 8,170.24, 12,229.44 and 5,854.72 is: 8,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.24 : 12,229.44 = 5,854.72 : x
  2. Step 2: Convert to fraction form
    8,170.24/12,229.44 = 5,854.72/x
  3. Step 3: Cross multiply
    8,170.24x = 12,229.44 × 5,854.72
  4. Step 4: Simplify right side
    8,170.24x = 71,599,946.96
  5. Step 5: Solve for x
    x = 71,599,946.96/8,170.24
  6. Step 6: Final answer
    x = 8,763.51

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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.