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Finding the Fourth Proportional to 11,387.33, 15,721.82 and 7,144.20

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Solution

The fourth proportional to 11,387.33, 15,721.82 and 7,144.20 is: 9,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.33 : 15,721.82 = 7,144.20 : x
  2. Step 2: Convert to fraction form
    11,387.33/15,721.82 = 7,144.20/x
  3. Step 3: Cross multiply
    11,387.33x = 15,721.82 × 7,144.20
  4. Step 4: Simplify right side
    11,387.33x = 112,319,790.72
  5. Step 5: Solve for x
    x = 112,319,790.72/11,387.33
  6. Step 6: Final answer
    x = 9,863.58

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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.