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Finding the Fourth Proportional to 11,600.24, 16,016.04 and 6,886.04

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Solution

The fourth proportional to 11,600.24, 16,016.04 and 6,886.04 is: 9,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.24 : 16,016.04 = 6,886.04 : x
  2. Step 2: Convert to fraction form
    11,600.24/16,016.04 = 6,886.04/x
  3. Step 3: Cross multiply
    11,600.24x = 16,016.04 × 6,886.04
  4. Step 4: Simplify right side
    11,600.24x = 110,287,092.08
  5. Step 5: Solve for x
    x = 110,287,092.08/11,600.24
  6. Step 6: Final answer
    x = 9,507.31

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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.