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Finding the Fourth Proportional to 8,272.47, 12,408.89 and 2,429.09

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Solution

The fourth proportional to 8,272.47, 12,408.89 and 2,429.09 is: 3,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.47 : 12,408.89 = 2,429.09 : x
  2. Step 2: Convert to fraction form
    8,272.47/12,408.89 = 2,429.09/x
  3. Step 3: Cross multiply
    8,272.47x = 12,408.89 × 2,429.09
  4. Step 4: Simplify right side
    8,272.47x = 30,142,236.42
  5. Step 5: Solve for x
    x = 30,142,236.42/8,272.47
  6. Step 6: Final answer
    x = 3,643.68

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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.