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Finding the Fourth Proportional to 10,074.57, 15,101.73 and 3,832.98

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Solution

The fourth proportional to 10,074.57, 15,101.73 and 3,832.98 is: 5,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.57 : 15,101.73 = 3,832.98 : x
  2. Step 2: Convert to fraction form
    10,074.57/15,101.73 = 3,832.98/x
  3. Step 3: Cross multiply
    10,074.57x = 15,101.73 × 3,832.98
  4. Step 4: Simplify right side
    10,074.57x = 57,884,629.06
  5. Step 5: Solve for x
    x = 57,884,629.06/10,074.57
  6. Step 6: Final answer
    x = 5,745.62

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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.