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Finding the Fourth Proportional to 7,242.75, 10,864.53 and 2,049.03

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Solution

The fourth proportional to 7,242.75, 10,864.53 and 2,049.03 is: 3,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.75 : 10,864.53 = 2,049.03 : x
  2. Step 2: Convert to fraction form
    7,242.75/10,864.53 = 2,049.03/x
  3. Step 3: Cross multiply
    7,242.75x = 10,864.53 × 2,049.03
  4. Step 4: Simplify right side
    7,242.75x = 22,261,747.91
  5. Step 5: Solve for x
    x = 22,261,747.91/7,242.75
  6. Step 6: Final answer
    x = 3,073.66

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