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Finding the Fourth Proportional to 10,950.80, 16,401.90 and 8,472.20

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Solution

The fourth proportional to 10,950.80, 16,401.90 and 8,472.20 is: 12,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.80 : 16,401.90 = 8,472.20 : x
  2. Step 2: Convert to fraction form
    10,950.80/16,401.90 = 8,472.20/x
  3. Step 3: Cross multiply
    10,950.80x = 16,401.90 × 8,472.20
  4. Step 4: Simplify right side
    10,950.80x = 138,960,177.18
  5. Step 5: Solve for x
    x = 138,960,177.18/10,950.80
  6. Step 6: Final answer
    x = 12,689.50

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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.