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Finding the Fourth Proportional to 7,223.44, 10,837.92 and 2,543.84

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Solution

The fourth proportional to 7,223.44, 10,837.92 and 2,543.84 is: 3,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.44 : 10,837.92 = 2,543.84 : x
  2. Step 2: Convert to fraction form
    7,223.44/10,837.92 = 2,543.84/x
  3. Step 3: Cross multiply
    7,223.44x = 10,837.92 × 2,543.84
  4. Step 4: Simplify right side
    7,223.44x = 27,569,934.41
  5. Step 5: Solve for x
    x = 27,569,934.41/7,223.44
  6. Step 6: Final answer
    x = 3,816.73

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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.