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Finding the Fourth Proportional to 12,086.46, 16,678.44 and 6,709.19

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Solution

The fourth proportional to 12,086.46, 16,678.44 and 6,709.19 is: 9,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.46 : 16,678.44 = 6,709.19 : x
  2. Step 2: Convert to fraction form
    12,086.46/16,678.44 = 6,709.19/x
  3. Step 3: Cross multiply
    12,086.46x = 16,678.44 × 6,709.19
  4. Step 4: Simplify right side
    12,086.46x = 111,898,739.47
  5. Step 5: Solve for x
    x = 111,898,739.47/12,086.46
  6. Step 6: Final answer
    x = 9,258.19

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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.