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Finding the Fourth Proportional to 8,197.01, 11,310.18 and 5,211.76

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Solution

The fourth proportional to 8,197.01, 11,310.18 and 5,211.76 is: 7,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.01 : 11,310.18 = 5,211.76 : x
  2. Step 2: Convert to fraction form
    8,197.01/11,310.18 = 5,211.76/x
  3. Step 3: Cross multiply
    8,197.01x = 11,310.18 × 5,211.76
  4. Step 4: Simplify right side
    8,197.01x = 58,945,943.72
  5. Step 5: Solve for x
    x = 58,945,943.72/8,197.01
  6. Step 6: Final answer
    x = 7,191.15

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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.