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Finding the Fourth Proportional to 11,872.44, 16,386.68 and 6,839.57

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Solution

The fourth proportional to 11,872.44, 16,386.68 and 6,839.57 is: 9,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.44 : 16,386.68 = 6,839.57 : x
  2. Step 2: Convert to fraction form
    11,872.44/16,386.68 = 6,839.57/x
  3. Step 3: Cross multiply
    11,872.44x = 16,386.68 × 6,839.57
  4. Step 4: Simplify right side
    11,872.44x = 112,077,728.80
  5. Step 5: Solve for x
    x = 112,077,728.80/11,872.44
  6. Step 6: Final answer
    x = 9,440.16

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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.