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Finding the Fourth Proportional to 11,332.60, 16,979.71 and 6,940.88

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Solution

The fourth proportional to 11,332.60, 16,979.71 and 6,940.88 is: 10,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.60 : 16,979.71 = 6,940.88 : x
  2. Step 2: Convert to fraction form
    11,332.60/16,979.71 = 6,940.88/x
  3. Step 3: Cross multiply
    11,332.60x = 16,979.71 × 6,940.88
  4. Step 4: Simplify right side
    11,332.60x = 117,854,129.54
  5. Step 5: Solve for x
    x = 117,854,129.54/11,332.60
  6. Step 6: Final answer
    x = 10,399.57

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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.