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Finding the Fourth Proportional to 8,382.75, 12,569.51 and 2,538.60

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Solution

The fourth proportional to 8,382.75, 12,569.51 and 2,538.60 is: 3,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.75 : 12,569.51 = 2,538.60 : x
  2. Step 2: Convert to fraction form
    8,382.75/12,569.51 = 2,538.60/x
  3. Step 3: Cross multiply
    8,382.75x = 12,569.51 × 2,538.60
  4. Step 4: Simplify right side
    8,382.75x = 31,908,882.55
  5. Step 5: Solve for x
    x = 31,908,882.55/8,382.75
  6. Step 6: Final answer
    x = 3,806.50

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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.