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Finding the Fourth Proportional to 8,523.70, 11,763.90 and 8,150.08

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Solution

The fourth proportional to 8,523.70, 11,763.90 and 8,150.08 is: 11,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.70 : 11,763.90 = 8,150.08 : x
  2. Step 2: Convert to fraction form
    8,523.70/11,763.90 = 8,150.08/x
  3. Step 3: Cross multiply
    8,523.70x = 11,763.90 × 8,150.08
  4. Step 4: Simplify right side
    8,523.70x = 95,876,726.11
  5. Step 5: Solve for x
    x = 95,876,726.11/8,523.70
  6. Step 6: Final answer
    x = 11,248.25

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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.