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Finding the Fourth Proportional to 7,471.72, 11,204.90 and 2,473.16

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Solution

The fourth proportional to 7,471.72, 11,204.90 and 2,473.16 is: 3,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.72 : 11,204.90 = 2,473.16 : x
  2. Step 2: Convert to fraction form
    7,471.72/11,204.90 = 2,473.16/x
  3. Step 3: Cross multiply
    7,471.72x = 11,204.90 × 2,473.16
  4. Step 4: Simplify right side
    7,471.72x = 27,711,510.48
  5. Step 5: Solve for x
    x = 27,711,510.48/7,471.72
  6. Step 6: Final answer
    x = 3,708.85

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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.