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Finding the Fourth Proportional to 8,228.76, 11,357.82 and 5,043.12

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Solution

The fourth proportional to 8,228.76, 11,357.82 and 5,043.12 is: 6,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.76 : 11,357.82 = 5,043.12 : x
  2. Step 2: Convert to fraction form
    8,228.76/11,357.82 = 5,043.12/x
  3. Step 3: Cross multiply
    8,228.76x = 11,357.82 × 5,043.12
  4. Step 4: Simplify right side
    8,228.76x = 57,278,849.20
  5. Step 5: Solve for x
    x = 57,278,849.20/8,228.76
  6. Step 6: Final answer
    x = 6,960.81

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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.