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Finding the Fourth Proportional to 8,377.44, 12,566.20 and 2,829.30

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Solution

The fourth proportional to 8,377.44, 12,566.20 and 2,829.30 is: 4,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.44 : 12,566.20 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    8,377.44/12,566.20 = 2,829.30/x
  3. Step 3: Cross multiply
    8,377.44x = 12,566.20 × 2,829.30
  4. Step 4: Simplify right side
    8,377.44x = 35,553,549.66
  5. Step 5: Solve for x
    x = 35,553,549.66/8,377.44
  6. Step 6: Final answer
    x = 4,243.96

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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.