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Finding the Fourth Proportional to 11,872.40, 16,376.77 and 7,839.26

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Solution

The fourth proportional to 11,872.40, 16,376.77 and 7,839.26 is: 10,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.40 : 16,376.77 = 7,839.26 : x
  2. Step 2: Convert to fraction form
    11,872.40/16,376.77 = 7,839.26/x
  3. Step 3: Cross multiply
    11,872.40x = 16,376.77 × 7,839.26
  4. Step 4: Simplify right side
    11,872.40x = 128,381,703.22
  5. Step 5: Solve for x
    x = 128,381,703.22/11,872.40
  6. Step 6: Final answer
    x = 10,813.46

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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.