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Finding the Fourth Proportional to 10,872.39, 16,314.06 and 6,192.21

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Solution

The fourth proportional to 10,872.39, 16,314.06 and 6,192.21 is: 9,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.39 : 16,314.06 = 6,192.21 : x
  2. Step 2: Convert to fraction form
    10,872.39/16,314.06 = 6,192.21/x
  3. Step 3: Cross multiply
    10,872.39x = 16,314.06 × 6,192.21
  4. Step 4: Simplify right side
    10,872.39x = 101,020,085.47
  5. Step 5: Solve for x
    x = 101,020,085.47/10,872.39
  6. Step 6: Final answer
    x = 9,291.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.