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Finding the Fourth Proportional to 7,679.80, 11,516.82 and 3,295

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Solution

The fourth proportional to 7,679.80, 11,516.82 and 3,295 is: 4,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.80 : 11,516.82 = 3,295 : x
  2. Step 2: Convert to fraction form
    7,679.80/11,516.82 = 3,295/x
  3. Step 3: Cross multiply
    7,679.80x = 11,516.82 × 3,295
  4. Step 4: Simplify right side
    7,679.80x = 37,947,921.90
  5. Step 5: Solve for x
    x = 37,947,921.90/7,679.80
  6. Step 6: Final answer
    x = 4,941.26

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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.