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Finding the Fourth Proportional to 10,103.88, 15,146.48 and 3,862.02

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Solution

The fourth proportional to 10,103.88, 15,146.48 and 3,862.02 is: 5,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.88 : 15,146.48 = 3,862.02 : x
  2. Step 2: Convert to fraction form
    10,103.88/15,146.48 = 3,862.02/x
  3. Step 3: Cross multiply
    10,103.88x = 15,146.48 × 3,862.02
  4. Step 4: Simplify right side
    10,103.88x = 58,496,008.69
  5. Step 5: Solve for x
    x = 58,496,008.69/10,103.88
  6. Step 6: Final answer
    x = 5,789.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.