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Finding the Fourth Proportional to 11,414.11, 17,125.06 and 6,149.66

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Solution

The fourth proportional to 11,414.11, 17,125.06 and 6,149.66 is: 9,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.11 : 17,125.06 = 6,149.66 : x
  2. Step 2: Convert to fraction form
    11,414.11/17,125.06 = 6,149.66/x
  3. Step 3: Cross multiply
    11,414.11x = 17,125.06 × 6,149.66
  4. Step 4: Simplify right side
    11,414.11x = 105,313,303.34
  5. Step 5: Solve for x
    x = 105,313,303.34/11,414.11
  6. Step 6: Final answer
    x = 9,226.59

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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.