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Finding the Fourth Proportional to 11,639.68, 17,462.24 and 3,848.49

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Solution

The fourth proportional to 11,639.68, 17,462.24 and 3,848.49 is: 5,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.68 : 17,462.24 = 3,848.49 : x
  2. Step 2: Convert to fraction form
    11,639.68/17,462.24 = 3,848.49/x
  3. Step 3: Cross multiply
    11,639.68x = 17,462.24 × 3,848.49
  4. Step 4: Simplify right side
    11,639.68x = 67,203,251.21
  5. Step 5: Solve for x
    x = 67,203,251.21/11,639.68
  6. Step 6: Final answer
    x = 5,773.64

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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.