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Finding the Fourth Proportional to 7,542.81, 11,314.22 and 6,920.73

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Solution

The fourth proportional to 7,542.81, 11,314.22 and 6,920.73 is: 10,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.81 : 11,314.22 = 6,920.73 : x
  2. Step 2: Convert to fraction form
    7,542.81/11,314.22 = 6,920.73/x
  3. Step 3: Cross multiply
    7,542.81x = 11,314.22 × 6,920.73
  4. Step 4: Simplify right side
    7,542.81x = 78,302,627.18
  5. Step 5: Solve for x
    x = 78,302,627.18/7,542.81
  6. Step 6: Final answer
    x = 10,381.10

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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.