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Finding the Fourth Proportional to 7,672.10, 11,501.40 and 5,198.90

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Solution

The fourth proportional to 7,672.10, 11,501.40 and 5,198.90 is: 7,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.10 : 11,501.40 = 5,198.90 : x
  2. Step 2: Convert to fraction form
    7,672.10/11,501.40 = 5,198.90/x
  3. Step 3: Cross multiply
    7,672.10x = 11,501.40 × 5,198.90
  4. Step 4: Simplify right side
    7,672.10x = 59,794,628.46
  5. Step 5: Solve for x
    x = 59,794,628.46/7,672.10
  6. Step 6: Final answer
    x = 7,793.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.