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Finding the Fourth Proportional to 10,371.84, 15,548.43 and 3,796.50

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Solution

The fourth proportional to 10,371.84, 15,548.43 and 3,796.50 is: 5,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.84 : 15,548.43 = 3,796.50 : x
  2. Step 2: Convert to fraction form
    10,371.84/15,548.43 = 3,796.50/x
  3. Step 3: Cross multiply
    10,371.84x = 15,548.43 × 3,796.50
  4. Step 4: Simplify right side
    10,371.84x = 59,029,614.50
  5. Step 5: Solve for x
    x = 59,029,614.50/10,371.84
  6. Step 6: Final answer
    x = 5,691.33

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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.