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Finding the Fourth Proportional to 8,523.76, 11,764.09 and 8,247.12

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Solution

The fourth proportional to 8,523.76, 11,764.09 and 8,247.12 is: 11,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.76 : 11,764.09 = 8,247.12 : x
  2. Step 2: Convert to fraction form
    8,523.76/11,764.09 = 8,247.12/x
  3. Step 3: Cross multiply
    8,523.76x = 11,764.09 × 8,247.12
  4. Step 4: Simplify right side
    8,523.76x = 97,019,781.72
  5. Step 5: Solve for x
    x = 97,019,781.72/8,523.76
  6. Step 6: Final answer
    x = 11,382.28

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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.