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Finding the Fourth Proportional to 8,211.12, 11,263.02 and 8,140.80

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Solution

The fourth proportional to 8,211.12, 11,263.02 and 8,140.80 is: 11,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.12 : 11,263.02 = 8,140.80 : x
  2. Step 2: Convert to fraction form
    8,211.12/11,263.02 = 8,140.80/x
  3. Step 3: Cross multiply
    8,211.12x = 11,263.02 × 8,140.80
  4. Step 4: Simplify right side
    8,211.12x = 91,689,993.22
  5. Step 5: Solve for x
    x = 91,689,993.22/8,211.12
  6. Step 6: Final answer
    x = 11,166.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.