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Finding the Fourth Proportional to 8,228.64, 12,344.52 and 4,281.78

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Solution

The fourth proportional to 8,228.64, 12,344.52 and 4,281.78 is: 6,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.64 : 12,344.52 = 4,281.78 : x
  2. Step 2: Convert to fraction form
    8,228.64/12,344.52 = 4,281.78/x
  3. Step 3: Cross multiply
    8,228.64x = 12,344.52 × 4,281.78
  4. Step 4: Simplify right side
    8,228.64x = 52,856,518.85
  5. Step 5: Solve for x
    x = 52,856,518.85/8,228.64
  6. Step 6: Final answer
    x = 6,423.48

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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.