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Finding the Fourth Proportional to 11,883.68, 16,399.68 and 6,578.56

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Solution

The fourth proportional to 11,883.68, 16,399.68 and 6,578.56 is: 9,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.68 : 16,399.68 = 6,578.56 : x
  2. Step 2: Convert to fraction form
    11,883.68/16,399.68 = 6,578.56/x
  3. Step 3: Cross multiply
    11,883.68x = 16,399.68 × 6,578.56
  4. Step 4: Simplify right side
    11,883.68x = 107,886,278.86
  5. Step 5: Solve for x
    x = 107,886,278.86/11,883.68
  6. Step 6: Final answer
    x = 9,078.52

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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.