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Finding the Fourth Proportional to 8,097.96, 11,177.50 and 5,265.38

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Solution

The fourth proportional to 8,097.96, 11,177.50 and 5,265.38 is: 7,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.96 : 11,177.50 = 5,265.38 : x
  2. Step 2: Convert to fraction form
    8,097.96/11,177.50 = 5,265.38/x
  3. Step 3: Cross multiply
    8,097.96x = 11,177.50 × 5,265.38
  4. Step 4: Simplify right side
    8,097.96x = 58,853,784.95
  5. Step 5: Solve for x
    x = 58,853,784.95/8,097.96
  6. Step 6: Final answer
    x = 7,267.73

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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.