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Finding the Fourth Proportional to 11,883.11, 16,398.91 and 6,846.47

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Solution

The fourth proportional to 11,883.11, 16,398.91 and 6,846.47 is: 9,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.11 : 16,398.91 = 6,846.47 : x
  2. Step 2: Convert to fraction form
    11,883.11/16,398.91 = 6,846.47/x
  3. Step 3: Cross multiply
    11,883.11x = 16,398.91 × 6,846.47
  4. Step 4: Simplify right side
    11,883.11x = 112,274,687.14
  5. Step 5: Solve for x
    x = 112,274,687.14/11,883.11
  6. Step 6: Final answer
    x = 9,448.26

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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.