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Finding the Fourth Proportional to 12,766.52, 17,619.38 and 7,177.52

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Solution

The fourth proportional to 12,766.52, 17,619.38 and 7,177.52 is: 9,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.52 : 17,619.38 = 7,177.52 : x
  2. Step 2: Convert to fraction form
    12,766.52/17,619.38 = 7,177.52/x
  3. Step 3: Cross multiply
    12,766.52x = 17,619.38 × 7,177.52
  4. Step 4: Simplify right side
    12,766.52x = 126,463,452.34
  5. Step 5: Solve for x
    x = 126,463,452.34/12,766.52
  6. Step 6: Final answer
    x = 9,905.87

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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.