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Finding the Fourth Proportional to 8,563.60, 12,845.40 and 4,397.80

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Solution

The fourth proportional to 8,563.60, 12,845.40 and 4,397.80 is: 6,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.60 : 12,845.40 = 4,397.80 : x
  2. Step 2: Convert to fraction form
    8,563.60/12,845.40 = 4,397.80/x
  3. Step 3: Cross multiply
    8,563.60x = 12,845.40 × 4,397.80
  4. Step 4: Simplify right side
    8,563.60x = 56,491,500.12
  5. Step 5: Solve for x
    x = 56,491,500.12/8,563.60
  6. Step 6: Final answer
    x = 6,596.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.