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Finding the Fourth Proportional to 11,239.25, 15,502.12 and 7,882.81

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Solution

The fourth proportional to 11,239.25, 15,502.12 and 7,882.81 is: 10,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,239.25 : 15,502.12 = 7,882.81 : x
  2. Step 2: Convert to fraction form
    11,239.25/15,502.12 = 7,882.81/x
  3. Step 3: Cross multiply
    11,239.25x = 15,502.12 × 7,882.81
  4. Step 4: Simplify right side
    11,239.25x = 122,200,208.09
  5. Step 5: Solve for x
    x = 122,200,208.09/11,239.25
  6. Step 6: Final answer
    x = 10,872.63

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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.