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Finding the Fourth Proportional to 8,073.92, 11,127.84 and 7,849.28

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Solution

The fourth proportional to 8,073.92, 11,127.84 and 7,849.28 is: 10,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.92 : 11,127.84 = 7,849.28 : x
  2. Step 2: Convert to fraction form
    8,073.92/11,127.84 = 7,849.28/x
  3. Step 3: Cross multiply
    8,073.92x = 11,127.84 × 7,849.28
  4. Step 4: Simplify right side
    8,073.92x = 87,345,531.96
  5. Step 5: Solve for x
    x = 87,345,531.96/8,073.92
  6. Step 6: Final answer
    x = 10,818.23

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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.