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Finding the Fourth Proportional to 10,151.84, 15,227.58 and 3,995.84

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Solution

The fourth proportional to 10,151.84, 15,227.58 and 3,995.84 is: 5,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.84 : 15,227.58 = 3,995.84 : x
  2. Step 2: Convert to fraction form
    10,151.84/15,227.58 = 3,995.84/x
  3. Step 3: Cross multiply
    10,151.84x = 15,227.58 × 3,995.84
  4. Step 4: Simplify right side
    10,151.84x = 60,846,973.27
  5. Step 5: Solve for x
    x = 60,846,973.27/10,151.84
  6. Step 6: Final answer
    x = 5,993.69

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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.