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Finding the Fourth Proportional to 8,012.16, 11,052.48 and 7,449.12

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Solution

The fourth proportional to 8,012.16, 11,052.48 and 7,449.12 is: 10,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.16 : 11,052.48 = 7,449.12 : x
  2. Step 2: Convert to fraction form
    8,012.16/11,052.48 = 7,449.12/x
  3. Step 3: Cross multiply
    8,012.16x = 11,052.48 × 7,449.12
  4. Step 4: Simplify right side
    8,012.16x = 82,331,249.82
  5. Step 5: Solve for x
    x = 82,331,249.82/8,012.16
  6. Step 6: Final answer
    x = 10,275.79

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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.