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Finding the Fourth Proportional to 10,092.12, 15,132.02 and 3,845.46

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Solution

The fourth proportional to 10,092.12, 15,132.02 and 3,845.46 is: 5,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.12 : 15,132.02 = 3,845.46 : x
  2. Step 2: Convert to fraction form
    10,092.12/15,132.02 = 3,845.46/x
  3. Step 3: Cross multiply
    10,092.12x = 15,132.02 × 3,845.46
  4. Step 4: Simplify right side
    10,092.12x = 58,189,577.63
  5. Step 5: Solve for x
    x = 58,189,577.63/10,092.12
  6. Step 6: Final answer
    x = 5,765.84

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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.