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Finding the Fourth Proportional to 7,128.71, 10,694.89 and 2,967.34

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Solution

The fourth proportional to 7,128.71, 10,694.89 and 2,967.34 is: 4,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.71 : 10,694.89 = 2,967.34 : x
  2. Step 2: Convert to fraction form
    7,128.71/10,694.89 = 2,967.34/x
  3. Step 3: Cross multiply
    7,128.71x = 10,694.89 × 2,967.34
  4. Step 4: Simplify right side
    7,128.71x = 31,735,321.42
  5. Step 5: Solve for x
    x = 31,735,321.42/7,128.71
  6. Step 6: Final answer
    x = 4,451.76

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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.