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Finding the Fourth Proportional to 7,542.86, 11,314.26 and 2,348.73

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Solution

The fourth proportional to 7,542.86, 11,314.26 and 2,348.73 is: 3,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.86 : 11,314.26 = 2,348.73 : x
  2. Step 2: Convert to fraction form
    7,542.86/11,314.26 = 2,348.73/x
  3. Step 3: Cross multiply
    7,542.86x = 11,314.26 × 2,348.73
  4. Step 4: Simplify right side
    7,542.86x = 26,574,141.89
  5. Step 5: Solve for x
    x = 26,574,141.89/7,542.86
  6. Step 6: Final answer
    x = 3,523.09

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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.