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Finding the Fourth Proportional to 8,053.12, 11,119.92 and 5,073.76

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Solution

The fourth proportional to 8,053.12, 11,119.92 and 5,073.76 is: 7,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.12 : 11,119.92 = 5,073.76 : x
  2. Step 2: Convert to fraction form
    8,053.12/11,119.92 = 5,073.76/x
  3. Step 3: Cross multiply
    8,053.12x = 11,119.92 × 5,073.76
  4. Step 4: Simplify right side
    8,053.12x = 56,419,805.30
  5. Step 5: Solve for x
    x = 56,419,805.30/8,053.12
  6. Step 6: Final answer
    x = 7,005.96

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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.