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Finding the Fourth Proportional to 8,183.84, 12,275.50 and 2,340.45

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Solution

The fourth proportional to 8,183.84, 12,275.50 and 2,340.45 is: 3,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.84 : 12,275.50 = 2,340.45 : x
  2. Step 2: Convert to fraction form
    8,183.84/12,275.50 = 2,340.45/x
  3. Step 3: Cross multiply
    8,183.84x = 12,275.50 × 2,340.45
  4. Step 4: Simplify right side
    8,183.84x = 28,730,193.98
  5. Step 5: Solve for x
    x = 28,730,193.98/8,183.84
  6. Step 6: Final answer
    x = 3,510.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.