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Finding the Fourth Proportional to 11,833.36, 16,344.57 and 8,862.46

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Solution

The fourth proportional to 11,833.36, 16,344.57 and 8,862.46 is: 12,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.36 : 16,344.57 = 8,862.46 : x
  2. Step 2: Convert to fraction form
    11,833.36/16,344.57 = 8,862.46/x
  3. Step 3: Cross multiply
    11,833.36x = 16,344.57 × 8,862.46
  4. Step 4: Simplify right side
    11,833.36x = 144,853,097.84
  5. Step 5: Solve for x
    x = 144,853,097.84/11,833.36
  6. Step 6: Final answer
    x = 12,241.08

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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.