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Finding the Fourth Proportional to 7,529.52, 11,294.96 and 1,982.88

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Solution

The fourth proportional to 7,529.52, 11,294.96 and 1,982.88 is: 2,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.52 : 11,294.96 = 1,982.88 : x
  2. Step 2: Convert to fraction form
    7,529.52/11,294.96 = 1,982.88/x
  3. Step 3: Cross multiply
    7,529.52x = 11,294.96 × 1,982.88
  4. Step 4: Simplify right side
    7,529.52x = 22,396,550.28
  5. Step 5: Solve for x
    x = 22,396,550.28/7,529.52
  6. Step 6: Final answer
    x = 2,974.50

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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.