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Finding the Fourth Proportional to 11,414.44, 15,742.02 and 7,434.10

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Solution

The fourth proportional to 11,414.44, 15,742.02 and 7,434.10 is: 10,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.44 : 15,742.02 = 7,434.10 : x
  2. Step 2: Convert to fraction form
    11,414.44/15,742.02 = 7,434.10/x
  3. Step 3: Cross multiply
    11,414.44x = 15,742.02 × 7,434.10
  4. Step 4: Simplify right side
    11,414.44x = 117,027,750.88
  5. Step 5: Solve for x
    x = 117,027,750.88/11,414.44
  6. Step 6: Final answer
    x = 10,252.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.