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Finding the Fourth Proportional to 10,101.67, 15,158.82 and 3,862.21

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Solution

The fourth proportional to 10,101.67, 15,158.82 and 3,862.21 is: 5,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.67 : 15,158.82 = 3,862.21 : x
  2. Step 2: Convert to fraction form
    10,101.67/15,158.82 = 3,862.21/x
  3. Step 3: Cross multiply
    10,101.67x = 15,158.82 × 3,862.21
  4. Step 4: Simplify right side
    10,101.67x = 58,546,546.19
  5. Step 5: Solve for x
    x = 58,546,546.19/10,101.67
  6. Step 6: Final answer
    x = 5,795.73

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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.