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Finding the Fourth Proportional to 12,085.81, 16,680.15 and 6,709.48

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Solution

The fourth proportional to 12,085.81, 16,680.15 and 6,709.48 is: 9,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.81 : 16,680.15 = 6,709.48 : x
  2. Step 2: Convert to fraction form
    12,085.81/16,680.15 = 6,709.48/x
  3. Step 3: Cross multiply
    12,085.81x = 16,680.15 × 6,709.48
  4. Step 4: Simplify right side
    12,085.81x = 111,915,091.12
  5. Step 5: Solve for x
    x = 111,915,091.12/12,085.81
  6. Step 6: Final answer
    x = 9,260.04

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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.