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Finding the Fourth Proportional to 11,646.28, 17,472.64 and 3,860.56

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Solution

The fourth proportional to 11,646.28, 17,472.64 and 3,860.56 is: 5,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.28 : 17,472.64 = 3,860.56 : x
  2. Step 2: Convert to fraction form
    11,646.28/17,472.64 = 3,860.56/x
  3. Step 3: Cross multiply
    11,646.28x = 17,472.64 × 3,860.56
  4. Step 4: Simplify right side
    11,646.28x = 67,454,175.08
  5. Step 5: Solve for x
    x = 67,454,175.08/11,646.28
  6. Step 6: Final answer
    x = 5,791.91

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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.