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Finding the Fourth Proportional to 11,646.99, 17,473.37 and 3,856.59

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Solution

The fourth proportional to 11,646.99, 17,473.37 and 3,856.59 is: 5,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.99 : 17,473.37 = 3,856.59 : x
  2. Step 2: Convert to fraction form
    11,646.99/17,473.37 = 3,856.59/x
  3. Step 3: Cross multiply
    11,646.99x = 17,473.37 × 3,856.59
  4. Step 4: Simplify right side
    11,646.99x = 67,387,604.73
  5. Step 5: Solve for x
    x = 67,387,604.73/11,646.99
  6. Step 6: Final answer
    x = 5,785.84

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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.