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Finding the Fourth Proportional to 8,382.56, 12,573.87 and 2,835.95

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Solution

The fourth proportional to 8,382.56, 12,573.87 and 2,835.95 is: 4,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.56 : 12,573.87 = 2,835.95 : x
  2. Step 2: Convert to fraction form
    8,382.56/12,573.87 = 2,835.95/x
  3. Step 3: Cross multiply
    8,382.56x = 12,573.87 × 2,835.95
  4. Step 4: Simplify right side
    8,382.56x = 35,658,866.63
  5. Step 5: Solve for x
    x = 35,658,866.63/8,382.56
  6. Step 6: Final answer
    x = 4,253.94

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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.