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Finding the Fourth Proportional to 8,442.76, 11,650.80 and 4,665.73

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Solution

The fourth proportional to 8,442.76, 11,650.80 and 4,665.73 is: 6,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.76 : 11,650.80 = 4,665.73 : x
  2. Step 2: Convert to fraction form
    8,442.76/11,650.80 = 4,665.73/x
  3. Step 3: Cross multiply
    8,442.76x = 11,650.80 × 4,665.73
  4. Step 4: Simplify right side
    8,442.76x = 54,359,487.08
  5. Step 5: Solve for x
    x = 54,359,487.08/8,442.76
  6. Step 6: Final answer
    x = 6,438.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.