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Finding the Fourth Proportional to 8,747, 13,121.82 and 3,124.23

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Solution

The fourth proportional to 8,747, 13,121.82 and 3,124.23 is: 4,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747 : 13,121.82 = 3,124.23 : x
  2. Step 2: Convert to fraction form
    8,747/13,121.82 = 3,124.23/x
  3. Step 3: Cross multiply
    8,747x = 13,121.82 × 3,124.23
  4. Step 4: Simplify right side
    8,747x = 40,995,583.70
  5. Step 5: Solve for x
    x = 40,995,583.70/8,747
  6. Step 6: Final answer
    x = 4,686.82

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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.