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Finding the Fourth Proportional to 8,272.52, 12,408.78 and 2,429.16

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Solution

The fourth proportional to 8,272.52, 12,408.78 and 2,429.16 is: 3,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.52 : 12,408.78 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    8,272.52/12,408.78 = 2,429.16/x
  3. Step 3: Cross multiply
    8,272.52x = 12,408.78 × 2,429.16
  4. Step 4: Simplify right side
    8,272.52x = 30,142,912.02
  5. Step 5: Solve for x
    x = 30,142,912.02/8,272.52
  6. Step 6: Final answer
    x = 3,643.74

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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.