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Finding the Fourth Proportional to 7,106.54, 10,659.20 and 2,722.82

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Solution

The fourth proportional to 7,106.54, 10,659.20 and 2,722.82 is: 4,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.54 : 10,659.20 = 2,722.82 : x
  2. Step 2: Convert to fraction form
    7,106.54/10,659.20 = 2,722.82/x
  3. Step 3: Cross multiply
    7,106.54x = 10,659.20 × 2,722.82
  4. Step 4: Simplify right side
    7,106.54x = 29,023,016.03
  5. Step 5: Solve for x
    x = 29,023,016.03/7,106.54
  6. Step 6: Final answer
    x = 4,083.99

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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.