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Finding the Fourth Proportional to 11,685.74, 16,126.32 and 6,380.57

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Solution

The fourth proportional to 11,685.74, 16,126.32 and 6,380.57 is: 8,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.74 : 16,126.32 = 6,380.57 : x
  2. Step 2: Convert to fraction form
    11,685.74/16,126.32 = 6,380.57/x
  3. Step 3: Cross multiply
    11,685.74x = 16,126.32 × 6,380.57
  4. Step 4: Simplify right side
    11,685.74x = 102,895,032.97
  5. Step 5: Solve for x
    x = 102,895,032.97/11,685.74
  6. Step 6: Final answer
    x = 8,805.18

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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.