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Finding the Fourth Proportional to 8,406.11, 11,600.82 and 4,822.13

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Solution

The fourth proportional to 8,406.11, 11,600.82 and 4,822.13 is: 6,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.11 : 11,600.82 = 4,822.13 : x
  2. Step 2: Convert to fraction form
    8,406.11/11,600.82 = 4,822.13/x
  3. Step 3: Cross multiply
    8,406.11x = 11,600.82 × 4,822.13
  4. Step 4: Simplify right side
    8,406.11x = 55,940,691.15
  5. Step 5: Solve for x
    x = 55,940,691.15/8,406.11
  6. Step 6: Final answer
    x = 6,654.76

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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.