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Finding the Fourth Proportional to 8,642.47, 12,965.63 and 3,099.85

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Solution

The fourth proportional to 8,642.47, 12,965.63 and 3,099.85 is: 4,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.47 : 12,965.63 = 3,099.85 : x
  2. Step 2: Convert to fraction form
    8,642.47/12,965.63 = 3,099.85/x
  3. Step 3: Cross multiply
    8,642.47x = 12,965.63 × 3,099.85
  4. Step 4: Simplify right side
    8,642.47x = 40,191,508.16
  5. Step 5: Solve for x
    x = 40,191,508.16/8,642.47
  6. Step 6: Final answer
    x = 4,650.47

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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.