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Finding the Fourth Proportional to 11,715.70, 16,167.95 and 6,680.39

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Solution

The fourth proportional to 11,715.70, 16,167.95 and 6,680.39 is: 9,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.70 : 16,167.95 = 6,680.39 : x
  2. Step 2: Convert to fraction form
    11,715.70/16,167.95 = 6,680.39/x
  3. Step 3: Cross multiply
    11,715.70x = 16,167.95 × 6,680.39
  4. Step 4: Simplify right side
    11,715.70x = 108,008,218.52
  5. Step 5: Solve for x
    x = 108,008,218.52/11,715.70
  6. Step 6: Final answer
    x = 9,219.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.