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Finding the Fourth Proportional to 7,242.60, 10,864.92 and 2,243.89

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Solution

The fourth proportional to 7,242.60, 10,864.92 and 2,243.89 is: 3,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.60 : 10,864.92 = 2,243.89 : x
  2. Step 2: Convert to fraction form
    7,242.60/10,864.92 = 2,243.89/x
  3. Step 3: Cross multiply
    7,242.60x = 10,864.92 × 2,243.89
  4. Step 4: Simplify right side
    7,242.60x = 24,379,685.34
  5. Step 5: Solve for x
    x = 24,379,685.34/7,242.60
  6. Step 6: Final answer
    x = 3,366.15

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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.