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Finding the Fourth Proportional to 7,149, 10,724.25 and 1,954.88

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Solution

The fourth proportional to 7,149, 10,724.25 and 1,954.88 is: 2,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149 : 10,724.25 = 1,954.88 : x
  2. Step 2: Convert to fraction form
    7,149/10,724.25 = 1,954.88/x
  3. Step 3: Cross multiply
    7,149x = 10,724.25 × 1,954.88
  4. Step 4: Simplify right side
    7,149x = 20,964,568.22
  5. Step 5: Solve for x
    x = 20,964,568.22/7,149
  6. Step 6: Final answer
    x = 2,932.52

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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.