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Finding the Fourth Proportional to 11,685.49, 16,125.97 and 6,380.31

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Solution

The fourth proportional to 11,685.49, 16,125.97 and 6,380.31 is: 8,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.49 : 16,125.97 = 6,380.31 : x
  2. Step 2: Convert to fraction form
    11,685.49/16,125.97 = 6,380.31/x
  3. Step 3: Cross multiply
    11,685.49x = 16,125.97 × 6,380.31
  4. Step 4: Simplify right side
    11,685.49x = 102,888,603.83
  5. Step 5: Solve for x
    x = 102,888,603.83/11,685.49
  6. Step 6: Final answer
    x = 8,804.82

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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.