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Finding the Fourth Proportional to 8,529.82, 12,793.33 and 6,057.16

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Solution

The fourth proportional to 8,529.82, 12,793.33 and 6,057.16 is: 9,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.82 : 12,793.33 = 6,057.16 : x
  2. Step 2: Convert to fraction form
    8,529.82/12,793.33 = 6,057.16/x
  3. Step 3: Cross multiply
    8,529.82x = 12,793.33 × 6,057.16
  4. Step 4: Simplify right side
    8,529.82x = 77,491,246.74
  5. Step 5: Solve for x
    x = 77,491,246.74/8,529.82
  6. Step 6: Final answer
    x = 9,084.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.