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Finding the Fourth Proportional to 8,427.80, 12,638.52 and 2,503.52

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Solution

The fourth proportional to 8,427.80, 12,638.52 and 2,503.52 is: 3,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.80 : 12,638.52 = 2,503.52 : x
  2. Step 2: Convert to fraction form
    8,427.80/12,638.52 = 2,503.52/x
  3. Step 3: Cross multiply
    8,427.80x = 12,638.52 × 2,503.52
  4. Step 4: Simplify right side
    8,427.80x = 31,640,787.59
  5. Step 5: Solve for x
    x = 31,640,787.59/8,427.80
  6. Step 6: Final answer
    x = 3,754.34

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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.