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Finding the Fourth Proportional to 8,472.84, 12,711.06 and 2,549.22

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Solution

The fourth proportional to 8,472.84, 12,711.06 and 2,549.22 is: 3,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.84 : 12,711.06 = 2,549.22 : x
  2. Step 2: Convert to fraction form
    8,472.84/12,711.06 = 2,549.22/x
  3. Step 3: Cross multiply
    8,472.84x = 12,711.06 × 2,549.22
  4. Step 4: Simplify right side
    8,472.84x = 32,403,288.37
  5. Step 5: Solve for x
    x = 32,403,288.37/8,472.84
  6. Step 6: Final answer
    x = 3,824.37

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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.