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Finding the Fourth Proportional to 7,411.94, 11,119.40 and 2,731.97

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Solution

The fourth proportional to 7,411.94, 11,119.40 and 2,731.97 is: 4,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.94 : 11,119.40 = 2,731.97 : x
  2. Step 2: Convert to fraction form
    7,411.94/11,119.40 = 2,731.97/x
  3. Step 3: Cross multiply
    7,411.94x = 11,119.40 × 2,731.97
  4. Step 4: Simplify right side
    7,411.94x = 30,377,909.16
  5. Step 5: Solve for x
    x = 30,377,909.16/7,411.94
  6. Step 6: Final answer
    x = 4,098.51

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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.