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Finding the Fourth Proportional to 8,184.12, 12,274.12 and 2,340.76

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Solution

The fourth proportional to 8,184.12, 12,274.12 and 2,340.76 is: 3,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.12 : 12,274.12 = 2,340.76 : x
  2. Step 2: Convert to fraction form
    8,184.12/12,274.12 = 2,340.76/x
  3. Step 3: Cross multiply
    8,184.12x = 12,274.12 × 2,340.76
  4. Step 4: Simplify right side
    8,184.12x = 28,730,769.13
  5. Step 5: Solve for x
    x = 28,730,769.13/8,184.12
  6. Step 6: Final answer
    x = 3,510.55

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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.