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Finding the Fourth Proportional to 7,562.16, 11,344.86 and 2,631.42

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Solution

The fourth proportional to 7,562.16, 11,344.86 and 2,631.42 is: 3,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.16 : 11,344.86 = 2,631.42 : x
  2. Step 2: Convert to fraction form
    7,562.16/11,344.86 = 2,631.42/x
  3. Step 3: Cross multiply
    7,562.16x = 11,344.86 × 2,631.42
  4. Step 4: Simplify right side
    7,562.16x = 29,853,091.50
  5. Step 5: Solve for x
    x = 29,853,091.50/7,562.16
  6. Step 6: Final answer
    x = 3,947.69

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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.