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Finding the Fourth Proportional to 10,274.33, 15,411.50 and 2,483.14

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Solution

The fourth proportional to 10,274.33, 15,411.50 and 2,483.14 is: 3,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.33 : 15,411.50 = 2,483.14 : x
  2. Step 2: Convert to fraction form
    10,274.33/15,411.50 = 2,483.14/x
  3. Step 3: Cross multiply
    10,274.33x = 15,411.50 × 2,483.14
  4. Step 4: Simplify right side
    10,274.33x = 38,268,912.11
  5. Step 5: Solve for x
    x = 38,268,912.11/10,274.33
  6. Step 6: Final answer
    x = 3,724.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.