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Finding the Fourth Proportional to 8,182.61, 12,280.04 and 3,185.78

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Solution

The fourth proportional to 8,182.61, 12,280.04 and 3,185.78 is: 4,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.61 : 12,280.04 = 3,185.78 : x
  2. Step 2: Convert to fraction form
    8,182.61/12,280.04 = 3,185.78/x
  3. Step 3: Cross multiply
    8,182.61x = 12,280.04 × 3,185.78
  4. Step 4: Simplify right side
    8,182.61x = 39,121,428.50
  5. Step 5: Solve for x
    x = 39,121,428.50/8,182.61
  6. Step 6: Final answer
    x = 4,781.05

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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.