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Finding the Fourth Proportional to 11,793.80, 16,272.50 and 7,597

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Solution

The fourth proportional to 11,793.80, 16,272.50 and 7,597 is: 10,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.80 : 16,272.50 = 7,597 : x
  2. Step 2: Convert to fraction form
    11,793.80/16,272.50 = 7,597/x
  3. Step 3: Cross multiply
    11,793.80x = 16,272.50 × 7,597
  4. Step 4: Simplify right side
    11,793.80x = 123,622,182.50
  5. Step 5: Solve for x
    x = 123,622,182.50/11,793.80
  6. Step 6: Final answer
    x = 10,481.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.