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Finding the Fourth Proportional to 8,185.62, 12,284.54 and 3,188.78

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Solution

The fourth proportional to 8,185.62, 12,284.54 and 3,188.78 is: 4,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.62 : 12,284.54 = 3,188.78 : x
  2. Step 2: Convert to fraction form
    8,185.62/12,284.54 = 3,188.78/x
  3. Step 3: Cross multiply
    8,185.62x = 12,284.54 × 3,188.78
  4. Step 4: Simplify right side
    8,185.62x = 39,172,695.46
  5. Step 5: Solve for x
    x = 39,172,695.46/8,185.62
  6. Step 6: Final answer
    x = 4,785.55

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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.