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Finding the Fourth Proportional to 11,256.64, 16,879.04 and 6,578.24

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Solution

The fourth proportional to 11,256.64, 16,879.04 and 6,578.24 is: 9,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.64 : 16,879.04 = 6,578.24 : x
  2. Step 2: Convert to fraction form
    11,256.64/16,879.04 = 6,578.24/x
  3. Step 3: Cross multiply
    11,256.64x = 16,879.04 × 6,578.24
  4. Step 4: Simplify right side
    11,256.64x = 111,034,376.09
  5. Step 5: Solve for x
    x = 111,034,376.09/11,256.64
  6. Step 6: Final answer
    x = 9,863.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.