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Finding the Fourth Proportional to 11,382.62, 15,707.97 and 6,844.59

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Solution

The fourth proportional to 11,382.62, 15,707.97 and 6,844.59 is: 9,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.62 : 15,707.97 = 6,844.59 : x
  2. Step 2: Convert to fraction form
    11,382.62/15,707.97 = 6,844.59/x
  3. Step 3: Cross multiply
    11,382.62x = 15,707.97 × 6,844.59
  4. Step 4: Simplify right side
    11,382.62x = 107,514,614.38
  5. Step 5: Solve for x
    x = 107,514,614.38/11,382.62
  6. Step 6: Final answer
    x = 9,445.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.