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Finding the Fourth Proportional to 8,514.38, 11,743.18 and 5,531.18

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Solution

The fourth proportional to 8,514.38, 11,743.18 and 5,531.18 is: 7,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.38 : 11,743.18 = 5,531.18 : x
  2. Step 2: Convert to fraction form
    8,514.38/11,743.18 = 5,531.18/x
  3. Step 3: Cross multiply
    8,514.38x = 11,743.18 × 5,531.18
  4. Step 4: Simplify right side
    8,514.38x = 64,953,583.64
  5. Step 5: Solve for x
    x = 64,953,583.64/8,514.38
  6. Step 6: Final answer
    x = 7,628.70

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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.