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Finding the Fourth Proportional to 8,478.60, 12,717.88 and 4,096.48

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Solution

The fourth proportional to 8,478.60, 12,717.88 and 4,096.48 is: 6,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.60 : 12,717.88 = 4,096.48 : x
  2. Step 2: Convert to fraction form
    8,478.60/12,717.88 = 4,096.48/x
  3. Step 3: Cross multiply
    8,478.60x = 12,717.88 × 4,096.48
  4. Step 4: Simplify right side
    8,478.60x = 52,098,541.06
  5. Step 5: Solve for x
    x = 52,098,541.06/8,478.60
  6. Step 6: Final answer
    x = 6,144.71

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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.