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Finding the Fourth Proportional to 7,074.76, 10,614.06 and 2,144.56

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Solution

The fourth proportional to 7,074.76, 10,614.06 and 2,144.56 is: 3,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.76 : 10,614.06 = 2,144.56 : x
  2. Step 2: Convert to fraction form
    7,074.76/10,614.06 = 2,144.56/x
  3. Step 3: Cross multiply
    7,074.76x = 10,614.06 × 2,144.56
  4. Step 4: Simplify right side
    7,074.76x = 22,762,488.51
  5. Step 5: Solve for x
    x = 22,762,488.51/7,074.76
  6. Step 6: Final answer
    x = 3,217.42

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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.