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Finding the Fourth Proportional to 8,182.96, 12,276.29 and 2,340.02

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Solution

The fourth proportional to 8,182.96, 12,276.29 and 2,340.02 is: 3,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.96 : 12,276.29 = 2,340.02 : x
  2. Step 2: Convert to fraction form
    8,182.96/12,276.29 = 2,340.02/x
  3. Step 3: Cross multiply
    8,182.96x = 12,276.29 × 2,340.02
  4. Step 4: Simplify right side
    8,182.96x = 28,726,800.67
  5. Step 5: Solve for x
    x = 28,726,800.67/8,182.96
  6. Step 6: Final answer
    x = 3,510.56

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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.