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Finding the Fourth Proportional to 8,194.68, 12,292.03 and 3,511.65

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Solution

The fourth proportional to 8,194.68, 12,292.03 and 3,511.65 is: 5,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.68 : 12,292.03 = 3,511.65 : x
  2. Step 2: Convert to fraction form
    8,194.68/12,292.03 = 3,511.65/x
  3. Step 3: Cross multiply
    8,194.68x = 12,292.03 × 3,511.65
  4. Step 4: Simplify right side
    8,194.68x = 43,165,307.15
  5. Step 5: Solve for x
    x = 43,165,307.15/8,194.68
  6. Step 6: Final answer
    x = 5,267.48

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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.