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Finding the Fourth Proportional to 8,711.48, 11,995.62 and 7,877.90

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Solution

The fourth proportional to 8,711.48, 11,995.62 and 7,877.90 is: 10,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.48 : 11,995.62 = 7,877.90 : x
  2. Step 2: Convert to fraction form
    8,711.48/11,995.62 = 7,877.90/x
  3. Step 3: Cross multiply
    8,711.48x = 11,995.62 × 7,877.90
  4. Step 4: Simplify right side
    8,711.48x = 94,500,294.80
  5. Step 5: Solve for x
    x = 94,500,294.80/8,711.48
  6. Step 6: Final answer
    x = 10,847.79

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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.