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Finding the Fourth Proportional to 8,208.33, 12,296.99 and 6,545.60

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Solution

The fourth proportional to 8,208.33, 12,296.99 and 6,545.60 is: 9,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.33 : 12,296.99 = 6,545.60 : x
  2. Step 2: Convert to fraction form
    8,208.33/12,296.99 = 6,545.60/x
  3. Step 3: Cross multiply
    8,208.33x = 12,296.99 × 6,545.60
  4. Step 4: Simplify right side
    8,208.33x = 80,491,177.74
  5. Step 5: Solve for x
    x = 80,491,177.74/8,208.33
  6. Step 6: Final answer
    x = 9,806.04

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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.