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Finding the Fourth Proportional to 8,163.30, 12,244.95 and 7,709.70

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Solution

The fourth proportional to 8,163.30, 12,244.95 and 7,709.70 is: 11,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.30 : 12,244.95 = 7,709.70 : x
  2. Step 2: Convert to fraction form
    8,163.30/12,244.95 = 7,709.70/x
  3. Step 3: Cross multiply
    8,163.30x = 12,244.95 × 7,709.70
  4. Step 4: Simplify right side
    8,163.30x = 94,404,891.02
  5. Step 5: Solve for x
    x = 94,404,891.02/8,163.30
  6. Step 6: Final answer
    x = 11,564.55

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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.