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Finding the Fourth Proportional to 8,523.90, 11,754.72 and 5,167.26

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Solution

The fourth proportional to 8,523.90, 11,754.72 and 5,167.26 is: 7,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.90 : 11,754.72 = 5,167.26 : x
  2. Step 2: Convert to fraction form
    8,523.90/11,754.72 = 5,167.26/x
  3. Step 3: Cross multiply
    8,523.90x = 11,754.72 × 5,167.26
  4. Step 4: Simplify right side
    8,523.90x = 60,739,694.47
  5. Step 5: Solve for x
    x = 60,739,694.47/8,523.90
  6. Step 6: Final answer
    x = 7,125.81

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1.5x scale

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.