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Finding the Fourth Proportional to 8,442.42, 12,663.63 and 3,761.22

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Solution

The fourth proportional to 8,442.42, 12,663.63 and 3,761.22 is: 5,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.42 : 12,663.63 = 3,761.22 : x
  2. Step 2: Convert to fraction form
    8,442.42/12,663.63 = 3,761.22/x
  3. Step 3: Cross multiply
    8,442.42x = 12,663.63 × 3,761.22
  4. Step 4: Simplify right side
    8,442.42x = 47,630,698.43
  5. Step 5: Solve for x
    x = 47,630,698.43/8,442.42
  6. Step 6: Final answer
    x = 5,641.83

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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.