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Finding the Fourth Proportional to 8,272.10, 12,408.13 and 3,591.50

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Solution

The fourth proportional to 8,272.10, 12,408.13 and 3,591.50 is: 5,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.10 : 12,408.13 = 3,591.50 : x
  2. Step 2: Convert to fraction form
    8,272.10/12,408.13 = 3,591.50/x
  3. Step 3: Cross multiply
    8,272.10x = 12,408.13 × 3,591.50
  4. Step 4: Simplify right side
    8,272.10x = 44,563,798.90
  5. Step 5: Solve for x
    x = 44,563,798.90/8,272.10
  6. Step 6: Final answer
    x = 5,387.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.