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Finding the Fourth Proportional to 10,367.28, 15,537.08 and 3,787.28

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Solution

The fourth proportional to 10,367.28, 15,537.08 and 3,787.28 is: 5,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.28 : 15,537.08 = 3,787.28 : x
  2. Step 2: Convert to fraction form
    10,367.28/15,537.08 = 3,787.28/x
  3. Step 3: Cross multiply
    10,367.28x = 15,537.08 × 3,787.28
  4. Step 4: Simplify right side
    10,367.28x = 58,843,272.34
  5. Step 5: Solve for x
    x = 58,843,272.34/10,367.28
  6. Step 6: Final answer
    x = 5,675.86

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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.