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Finding the Fourth Proportional to 7,122.72, 10,679.76 and 2,744.16

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Solution

The fourth proportional to 7,122.72, 10,679.76 and 2,744.16 is: 4,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.72 : 10,679.76 = 2,744.16 : x
  2. Step 2: Convert to fraction form
    7,122.72/10,679.76 = 2,744.16/x
  3. Step 3: Cross multiply
    7,122.72x = 10,679.76 × 2,744.16
  4. Step 4: Simplify right side
    7,122.72x = 29,306,970.20
  5. Step 5: Solve for x
    x = 29,306,970.20/7,122.72
  6. Step 6: Final answer
    x = 4,114.58

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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.