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Finding the Fourth Proportional to 7,246.57, 10,871.62 and 2,248.82

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Solution

The fourth proportional to 7,246.57, 10,871.62 and 2,248.82 is: 3,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.57 : 10,871.62 = 2,248.82 : x
  2. Step 2: Convert to fraction form
    7,246.57/10,871.62 = 2,248.82/x
  3. Step 3: Cross multiply
    7,246.57x = 10,871.62 × 2,248.82
  4. Step 4: Simplify right side
    7,246.57x = 24,448,316.49
  5. Step 5: Solve for x
    x = 24,448,316.49/7,246.57
  6. Step 6: Final answer
    x = 3,373.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.