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Finding the Fourth Proportional to 7,144.95, 10,717.34 and 2,214.59

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Solution

The fourth proportional to 7,144.95, 10,717.34 and 2,214.59 is: 3,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.95 : 10,717.34 = 2,214.59 : x
  2. Step 2: Convert to fraction form
    7,144.95/10,717.34 = 2,214.59/x
  3. Step 3: Cross multiply
    7,144.95x = 10,717.34 × 2,214.59
  4. Step 4: Simplify right side
    7,144.95x = 23,734,545.38
  5. Step 5: Solve for x
    x = 23,734,545.38/7,144.95
  6. Step 6: Final answer
    x = 3,321.86

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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.