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Finding the Fourth Proportional to 8,272.46, 12,410.73 and 2,429.07

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Solution

The fourth proportional to 8,272.46, 12,410.73 and 2,429.07 is: 3,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.46 : 12,410.73 = 2,429.07 : x
  2. Step 2: Convert to fraction form
    8,272.46/12,410.73 = 2,429.07/x
  3. Step 3: Cross multiply
    8,272.46x = 12,410.73 × 2,429.07
  4. Step 4: Simplify right side
    8,272.46x = 30,146,531.92
  5. Step 5: Solve for x
    x = 30,146,531.92/8,272.46
  6. Step 6: Final answer
    x = 3,644.20

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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.