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Finding the Fourth Proportional to 8,002.92, 11,045.22 and 5,772.20

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Solution

The fourth proportional to 8,002.92, 11,045.22 and 5,772.20 is: 7,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.92 : 11,045.22 = 5,772.20 : x
  2. Step 2: Convert to fraction form
    8,002.92/11,045.22 = 5,772.20/x
  3. Step 3: Cross multiply
    8,002.92x = 11,045.22 × 5,772.20
  4. Step 4: Simplify right side
    8,002.92x = 63,755,218.88
  5. Step 5: Solve for x
    x = 63,755,218.88/8,002.92
  6. Step 6: Final answer
    x = 7,966.49

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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.