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Finding the Fourth Proportional to 11,713.40, 16,164.89 and 6,678.36

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Solution

The fourth proportional to 11,713.40, 16,164.89 and 6,678.36 is: 9,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.40 : 16,164.89 = 6,678.36 : x
  2. Step 2: Convert to fraction form
    11,713.40/16,164.89 = 6,678.36/x
  3. Step 3: Cross multiply
    11,713.40x = 16,164.89 × 6,678.36
  4. Step 4: Simplify right side
    11,713.40x = 107,954,921.39
  5. Step 5: Solve for x
    x = 107,954,921.39/11,713.40
  6. Step 6: Final answer
    x = 9,216.36

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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.