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Finding the Fourth Proportional to 12,087.45, 16,680.99 and 7,840.26

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Solution

The fourth proportional to 12,087.45, 16,680.99 and 7,840.26 is: 10,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.45 : 16,680.99 = 7,840.26 : x
  2. Step 2: Convert to fraction form
    12,087.45/16,680.99 = 7,840.26/x
  3. Step 3: Cross multiply
    12,087.45x = 16,680.99 × 7,840.26
  4. Step 4: Simplify right side
    12,087.45x = 130,783,298.66
  5. Step 5: Solve for x
    x = 130,783,298.66/12,087.45
  6. Step 6: Final answer
    x = 10,819.76

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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.