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Finding the Fourth Proportional to 10,091.62, 15,134.19 and 3,846.93

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Solution

The fourth proportional to 10,091.62, 15,134.19 and 3,846.93 is: 5,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.62 : 15,134.19 = 3,846.93 : x
  2. Step 2: Convert to fraction form
    10,091.62/15,134.19 = 3,846.93/x
  3. Step 3: Cross multiply
    10,091.62x = 15,134.19 × 3,846.93
  4. Step 4: Simplify right side
    10,091.62x = 58,220,169.54
  5. Step 5: Solve for x
    x = 58,220,169.54/10,091.62
  6. Step 6: Final answer
    x = 5,769.16

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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.