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Finding the Fourth Proportional to 11,883.72, 16,399.34 and 6,578.42

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Solution

The fourth proportional to 11,883.72, 16,399.34 and 6,578.42 is: 9,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.72 : 16,399.34 = 6,578.42 : x
  2. Step 2: Convert to fraction form
    11,883.72/16,399.34 = 6,578.42/x
  3. Step 3: Cross multiply
    11,883.72x = 16,399.34 × 6,578.42
  4. Step 4: Simplify right side
    11,883.72x = 107,881,746.24
  5. Step 5: Solve for x
    x = 107,881,746.24/11,883.72
  6. Step 6: Final answer
    x = 9,078.11

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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.