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Finding the Fourth Proportional to 7,272.56, 10,906.80 and 2,077.04

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Solution

The fourth proportional to 7,272.56, 10,906.80 and 2,077.04 is: 3,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.56 : 10,906.80 = 2,077.04 : x
  2. Step 2: Convert to fraction form
    7,272.56/10,906.80 = 2,077.04/x
  3. Step 3: Cross multiply
    7,272.56x = 10,906.80 × 2,077.04
  4. Step 4: Simplify right side
    7,272.56x = 22,653,859.87
  5. Step 5: Solve for x
    x = 22,653,859.87/7,272.56
  6. Step 6: Final answer
    x = 3,114.98

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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.