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Finding the Fourth Proportional to 11,502.09, 17,231.25 and 5,947.11

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Solution

The fourth proportional to 11,502.09, 17,231.25 and 5,947.11 is: 8,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.09 : 17,231.25 = 5,947.11 : x
  2. Step 2: Convert to fraction form
    11,502.09/17,231.25 = 5,947.11/x
  3. Step 3: Cross multiply
    11,502.09x = 17,231.25 × 5,947.11
  4. Step 4: Simplify right side
    11,502.09x = 102,476,139.19
  5. Step 5: Solve for x
    x = 102,476,139.19/11,502.09
  6. Step 6: Final answer
    x = 8,909.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.