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Finding the Fourth Proportional to 7,884.62, 11,820.52 and 3,206.82

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Solution

The fourth proportional to 7,884.62, 11,820.52 and 3,206.82 is: 4,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.62 : 11,820.52 = 3,206.82 : x
  2. Step 2: Convert to fraction form
    7,884.62/11,820.52 = 3,206.82/x
  3. Step 3: Cross multiply
    7,884.62x = 11,820.52 × 3,206.82
  4. Step 4: Simplify right side
    7,884.62x = 37,906,279.95
  5. Step 5: Solve for x
    x = 37,906,279.95/7,884.62
  6. Step 6: Final answer
    x = 4,807.62

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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.