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Finding the Fourth Proportional to 7,243.38, 10,854.42 and 4,278.78

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Solution

The fourth proportional to 7,243.38, 10,854.42 and 4,278.78 is: 6,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.38 : 10,854.42 = 4,278.78 : x
  2. Step 2: Convert to fraction form
    7,243.38/10,854.42 = 4,278.78/x
  3. Step 3: Cross multiply
    7,243.38x = 10,854.42 × 4,278.78
  4. Step 4: Simplify right side
    7,243.38x = 46,443,675.21
  5. Step 5: Solve for x
    x = 46,443,675.21/7,243.38
  6. Step 6: Final answer
    x = 6,411.88

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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.