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Finding the Fourth Proportional to 8,273.12, 12,411.40 and 2,429.20

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Solution

The fourth proportional to 8,273.12, 12,411.40 and 2,429.20 is: 3,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.12 : 12,411.40 = 2,429.20 : x
  2. Step 2: Convert to fraction form
    8,273.12/12,411.40 = 2,429.20/x
  3. Step 3: Cross multiply
    8,273.12x = 12,411.40 × 2,429.20
  4. Step 4: Simplify right side
    8,273.12x = 30,149,772.88
  5. Step 5: Solve for x
    x = 30,149,772.88/8,273.12
  6. Step 6: Final answer
    x = 3,644.31

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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.