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Finding the Fourth Proportional to 11,896.93, 16,419.52 and 6,860.17

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Solution

The fourth proportional to 11,896.93, 16,419.52 and 6,860.17 is: 9,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.93 : 16,419.52 = 6,860.17 : x
  2. Step 2: Convert to fraction form
    11,896.93/16,419.52 = 6,860.17/x
  3. Step 3: Cross multiply
    11,896.93x = 16,419.52 × 6,860.17
  4. Step 4: Simplify right side
    11,896.93x = 112,640,698.52
  5. Step 5: Solve for x
    x = 112,640,698.52/11,896.93
  6. Step 6: Final answer
    x = 9,468.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.