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Finding the Fourth Proportional to 10,741.14, 16,111.14 and 2,949.90

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Solution

The fourth proportional to 10,741.14, 16,111.14 and 2,949.90 is: 4,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.14 : 16,111.14 = 2,949.90 : x
  2. Step 2: Convert to fraction form
    10,741.14/16,111.14 = 2,949.90/x
  3. Step 3: Cross multiply
    10,741.14x = 16,111.14 × 2,949.90
  4. Step 4: Simplify right side
    10,741.14x = 47,526,251.89
  5. Step 5: Solve for x
    x = 47,526,251.89/10,741.14
  6. Step 6: Final answer
    x = 4,424.69

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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.