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Finding the Fourth Proportional to 12,087.49, 16,680.72 and 6,782.80

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Solution

The fourth proportional to 12,087.49, 16,680.72 and 6,782.80 is: 9,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.49 : 16,680.72 = 6,782.80 : x
  2. Step 2: Convert to fraction form
    12,087.49/16,680.72 = 6,782.80/x
  3. Step 3: Cross multiply
    12,087.49x = 16,680.72 × 6,782.80
  4. Step 4: Simplify right side
    12,087.49x = 113,141,987.62
  5. Step 5: Solve for x
    x = 113,141,987.62/12,087.49
  6. Step 6: Final answer
    x = 9,360.25

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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.