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Finding the Fourth Proportional to 7,160.28, 10,742.24 and 2,229.96

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Solution

The fourth proportional to 7,160.28, 10,742.24 and 2,229.96 is: 3,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.28 : 10,742.24 = 2,229.96 : x
  2. Step 2: Convert to fraction form
    7,160.28/10,742.24 = 2,229.96/x
  3. Step 3: Cross multiply
    7,160.28x = 10,742.24 × 2,229.96
  4. Step 4: Simplify right side
    7,160.28x = 23,954,765.51
  5. Step 5: Solve for x
    x = 23,954,765.51/7,160.28
  6. Step 6: Final answer
    x = 3,345.51

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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.