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Finding the Fourth Proportional to 8,462.04, 12,691 and 3,531.72

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Solution

The fourth proportional to 8,462.04, 12,691 and 3,531.72 is: 5,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.04 : 12,691 = 3,531.72 : x
  2. Step 2: Convert to fraction form
    8,462.04/12,691 = 3,531.72/x
  3. Step 3: Cross multiply
    8,462.04x = 12,691 × 3,531.72
  4. Step 4: Simplify right side
    8,462.04x = 44,821,058.52
  5. Step 5: Solve for x
    x = 44,821,058.52/8,462.04
  6. Step 6: Final answer
    x = 5,296.72

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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.