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Finding the Fourth Proportional to 8,294.84, 12,443.79 and 2,371.48

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Solution

The fourth proportional to 8,294.84, 12,443.79 and 2,371.48 is: 3,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.84 : 12,443.79 = 2,371.48 : x
  2. Step 2: Convert to fraction form
    8,294.84/12,443.79 = 2,371.48/x
  3. Step 3: Cross multiply
    8,294.84x = 12,443.79 × 2,371.48
  4. Step 4: Simplify right side
    8,294.84x = 29,510,176.89
  5. Step 5: Solve for x
    x = 29,510,176.89/8,294.84
  6. Step 6: Final answer
    x = 3,557.66

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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.