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Finding the Fourth Proportional to 11,776.39, 16,251.41 and 6,471.52

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Solution

The fourth proportional to 11,776.39, 16,251.41 and 6,471.52 is: 8,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.39 : 16,251.41 = 6,471.52 : x
  2. Step 2: Convert to fraction form
    11,776.39/16,251.41 = 6,471.52/x
  3. Step 3: Cross multiply
    11,776.39x = 16,251.41 × 6,471.52
  4. Step 4: Simplify right side
    11,776.39x = 105,171,211.23
  5. Step 5: Solve for x
    x = 105,171,211.23/11,776.39
  6. Step 6: Final answer
    x = 8,930.69

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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.