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Finding the Fourth Proportional to 11,867.59, 16,377.09 and 6,562.29

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Solution

The fourth proportional to 11,867.59, 16,377.09 and 6,562.29 is: 9,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.59 : 16,377.09 = 6,562.29 : x
  2. Step 2: Convert to fraction form
    11,867.59/16,377.09 = 6,562.29/x
  3. Step 3: Cross multiply
    11,867.59x = 16,377.09 × 6,562.29
  4. Step 4: Simplify right side
    11,867.59x = 107,471,213.94
  5. Step 5: Solve for x
    x = 107,471,213.94/11,867.59
  6. Step 6: Final answer
    x = 9,055.86

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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.