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Finding the Fourth Proportional to 12,065.75, 16,635.20 and 7,809.27

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Solution

The fourth proportional to 12,065.75, 16,635.20 and 7,809.27 is: 10,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.75 : 16,635.20 = 7,809.27 : x
  2. Step 2: Convert to fraction form
    12,065.75/16,635.20 = 7,809.27/x
  3. Step 3: Cross multiply
    12,065.75x = 16,635.20 × 7,809.27
  4. Step 4: Simplify right side
    12,065.75x = 129,908,768.30
  5. Step 5: Solve for x
    x = 129,908,768.30/12,065.75
  6. Step 6: Final answer
    x = 10,766.74

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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.