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Finding the Fourth Proportional to 11,634.38, 17,455.22 and 3,848.66

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Solution

The fourth proportional to 11,634.38, 17,455.22 and 3,848.66 is: 5,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.38 : 17,455.22 = 3,848.66 : x
  2. Step 2: Convert to fraction form
    11,634.38/17,455.22 = 3,848.66/x
  3. Step 3: Cross multiply
    11,634.38x = 17,455.22 × 3,848.66
  4. Step 4: Simplify right side
    11,634.38x = 67,179,207.01
  5. Step 5: Solve for x
    x = 67,179,207.01/11,634.38
  6. Step 6: Final answer
    x = 5,774.20

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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.