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Finding the Fourth Proportional to 11,874.59, 17,825.68 and 6,947.76

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Solution

The fourth proportional to 11,874.59, 17,825.68 and 6,947.76 is: 10,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.59 : 17,825.68 = 6,947.76 : x
  2. Step 2: Convert to fraction form
    11,874.59/17,825.68 = 6,947.76/x
  3. Step 3: Cross multiply
    11,874.59x = 17,825.68 × 6,947.76
  4. Step 4: Simplify right side
    11,874.59x = 123,848,555.16
  5. Step 5: Solve for x
    x = 123,848,555.16/11,874.59
  6. Step 6: Final answer
    x = 10,429.72

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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.