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Finding the Fourth Proportional to 8,442.68, 12,671.76 and 4,285.56

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Solution

The fourth proportional to 8,442.68, 12,671.76 and 4,285.56 is: 6,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.68 : 12,671.76 = 4,285.56 : x
  2. Step 2: Convert to fraction form
    8,442.68/12,671.76 = 4,285.56/x
  3. Step 3: Cross multiply
    8,442.68x = 12,671.76 × 4,285.56
  4. Step 4: Simplify right side
    8,442.68x = 54,305,587.79
  5. Step 5: Solve for x
    x = 54,305,587.79/8,442.68
  6. Step 6: Final answer
    x = 6,432.27

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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.