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Finding the Fourth Proportional to 8,442.47, 11,650.61 and 4,716.47

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Solution

The fourth proportional to 8,442.47, 11,650.61 and 4,716.47 is: 6,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.47 : 11,650.61 = 4,716.47 : x
  2. Step 2: Convert to fraction form
    8,442.47/11,650.61 = 4,716.47/x
  3. Step 3: Cross multiply
    8,442.47x = 11,650.61 × 4,716.47
  4. Step 4: Simplify right side
    8,442.47x = 54,949,758.09
  5. Step 5: Solve for x
    x = 54,949,758.09/8,442.47
  6. Step 6: Final answer
    x = 6,508.73

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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.