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Finding the Fourth Proportional to 10,292.74, 15,441.37 and 3,274.90

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Solution

The fourth proportional to 10,292.74, 15,441.37 and 3,274.90 is: 4,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.74 : 15,441.37 = 3,274.90 : x
  2. Step 2: Convert to fraction form
    10,292.74/15,441.37 = 3,274.90/x
  3. Step 3: Cross multiply
    10,292.74x = 15,441.37 × 3,274.90
  4. Step 4: Simplify right side
    10,292.74x = 50,568,895.82
  5. Step 5: Solve for x
    x = 50,568,895.82/10,292.74
  6. Step 6: Final answer
    x = 4,913.07

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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.