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Finding the Fourth Proportional to 11,984.09, 16,538.04 and 6,678.79

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Solution

The fourth proportional to 11,984.09, 16,538.04 and 6,678.79 is: 9,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.09 : 16,538.04 = 6,678.79 : x
  2. Step 2: Convert to fraction form
    11,984.09/16,538.04 = 6,678.79/x
  3. Step 3: Cross multiply
    11,984.09x = 16,538.04 × 6,678.79
  4. Step 4: Simplify right side
    11,984.09x = 110,454,054.83
  5. Step 5: Solve for x
    x = 110,454,054.83/11,984.09
  6. Step 6: Final answer
    x = 9,216.73

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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.