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Finding the Fourth Proportional to 8,382.56, 12,574.44 and 2,836.49

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Solution

The fourth proportional to 8,382.56, 12,574.44 and 2,836.49 is: 4,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.56 : 12,574.44 = 2,836.49 : x
  2. Step 2: Convert to fraction form
    8,382.56/12,574.44 = 2,836.49/x
  3. Step 3: Cross multiply
    8,382.56x = 12,574.44 × 2,836.49
  4. Step 4: Simplify right side
    8,382.56x = 35,667,210.44
  5. Step 5: Solve for x
    x = 35,667,210.44/8,382.56
  6. Step 6: Final answer
    x = 4,254.93

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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.