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Finding the Fourth Proportional to 8,411.06, 12,615.24 and 3,478.88

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Solution

The fourth proportional to 8,411.06, 12,615.24 and 3,478.88 is: 5,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.06 : 12,615.24 = 3,478.88 : x
  2. Step 2: Convert to fraction form
    8,411.06/12,615.24 = 3,478.88/x
  3. Step 3: Cross multiply
    8,411.06x = 12,615.24 × 3,478.88
  4. Step 4: Simplify right side
    8,411.06x = 43,886,906.13
  5. Step 5: Solve for x
    x = 43,886,906.13/8,411.06
  6. Step 6: Final answer
    x = 5,217.76

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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.