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Finding the Fourth Proportional to 11,642.18, 16,066.49 and 6,337.29

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Solution

The fourth proportional to 11,642.18, 16,066.49 and 6,337.29 is: 8,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.18 : 16,066.49 = 6,337.29 : x
  2. Step 2: Convert to fraction form
    11,642.18/16,066.49 = 6,337.29/x
  3. Step 3: Cross multiply
    11,642.18x = 16,066.49 × 6,337.29
  4. Step 4: Simplify right side
    11,642.18x = 101,818,006.41
  5. Step 5: Solve for x
    x = 101,818,006.41/11,642.18
  6. Step 6: Final answer
    x = 8,745.61

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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.