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Finding the Fourth Proportional to 10,273.79, 15,414.39 and 3,612.13

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Solution

The fourth proportional to 10,273.79, 15,414.39 and 3,612.13 is: 5,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.79 : 15,414.39 = 3,612.13 : x
  2. Step 2: Convert to fraction form
    10,273.79/15,414.39 = 3,612.13/x
  3. Step 3: Cross multiply
    10,273.79x = 15,414.39 × 3,612.13
  4. Step 4: Simplify right side
    10,273.79x = 55,678,742.01
  5. Step 5: Solve for x
    x = 55,678,742.01/10,273.79
  6. Step 6: Final answer
    x = 5,419.49

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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.