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Finding the Fourth Proportional to 8,572.38, 11,827.26 and 5,587.13

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Solution

The fourth proportional to 8,572.38, 11,827.26 and 5,587.13 is: 7,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.38 : 11,827.26 = 5,587.13 : x
  2. Step 2: Convert to fraction form
    8,572.38/11,827.26 = 5,587.13/x
  3. Step 3: Cross multiply
    8,572.38x = 11,827.26 × 5,587.13
  4. Step 4: Simplify right side
    8,572.38x = 66,080,439.16
  5. Step 5: Solve for x
    x = 66,080,439.16/8,572.38
  6. Step 6: Final answer
    x = 7,708.53

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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.