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Finding the Fourth Proportional to 11,298.84, 16,943.88 and 8,169.36

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Solution

The fourth proportional to 11,298.84, 16,943.88 and 8,169.36 is: 12,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.84 : 16,943.88 = 8,169.36 : x
  2. Step 2: Convert to fraction form
    11,298.84/16,943.88 = 8,169.36/x
  3. Step 3: Cross multiply
    11,298.84x = 16,943.88 × 8,169.36
  4. Step 4: Simplify right side
    11,298.84x = 138,420,655.52
  5. Step 5: Solve for x
    x = 138,420,655.52/11,298.84
  6. Step 6: Final answer
    x = 12,250.87

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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.