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Finding the Fourth Proportional to 8,723.52, 12,016.98 and 8,278.92

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Solution

The fourth proportional to 8,723.52, 12,016.98 and 8,278.92 is: 11,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.52 : 12,016.98 = 8,278.92 : x
  2. Step 2: Convert to fraction form
    8,723.52/12,016.98 = 8,278.92/x
  3. Step 3: Cross multiply
    8,723.52x = 12,016.98 × 8,278.92
  4. Step 4: Simplify right side
    8,723.52x = 99,487,616.06
  5. Step 5: Solve for x
    x = 99,487,616.06/8,723.52
  6. Step 6: Final answer
    x = 11,404.53

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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.