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Finding the Fourth Proportional to 11,034, 15,227.24 and 6,066.32

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Solution

The fourth proportional to 11,034, 15,227.24 and 6,066.32 is: 8,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034 : 15,227.24 = 6,066.32 : x
  2. Step 2: Convert to fraction form
    11,034/15,227.24 = 6,066.32/x
  3. Step 3: Cross multiply
    11,034x = 15,227.24 × 6,066.32
  4. Step 4: Simplify right side
    11,034x = 92,373,310.56
  5. Step 5: Solve for x
    x = 92,373,310.56/11,034
  6. Step 6: Final answer
    x = 8,371.70

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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.