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Finding the Fourth Proportional to 8,427.14, 12,640.25 and 2,583.76

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Solution

The fourth proportional to 8,427.14, 12,640.25 and 2,583.76 is: 3,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.14 : 12,640.25 = 2,583.76 : x
  2. Step 2: Convert to fraction form
    8,427.14/12,640.25 = 2,583.76/x
  3. Step 3: Cross multiply
    8,427.14x = 12,640.25 × 2,583.76
  4. Step 4: Simplify right side
    8,427.14x = 32,659,359.42
  5. Step 5: Solve for x
    x = 32,659,359.42/8,427.14
  6. Step 6: Final answer
    x = 3,875.50

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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.