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Finding the Fourth Proportional to 11,881.69, 16,395.21 and 6,846.12

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Solution

The fourth proportional to 11,881.69, 16,395.21 and 6,846.12 is: 9,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.69 : 16,395.21 = 6,846.12 : x
  2. Step 2: Convert to fraction form
    11,881.69/16,395.21 = 6,846.12/x
  3. Step 3: Cross multiply
    11,881.69x = 16,395.21 × 6,846.12
  4. Step 4: Simplify right side
    11,881.69x = 112,243,575.09
  5. Step 5: Solve for x
    x = 112,243,575.09/11,881.69
  6. Step 6: Final answer
    x = 9,446.77

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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.