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Finding the Fourth Proportional to 11,481.32, 15,844.74 and 8,993

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Solution

The fourth proportional to 11,481.32, 15,844.74 and 8,993 is: 12,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.32 : 15,844.74 = 8,993 : x
  2. Step 2: Convert to fraction form
    11,481.32/15,844.74 = 8,993/x
  3. Step 3: Cross multiply
    11,481.32x = 15,844.74 × 8,993
  4. Step 4: Simplify right side
    11,481.32x = 142,491,746.82
  5. Step 5: Solve for x
    x = 142,491,746.82/11,481.32
  6. Step 6: Final answer
    x = 12,410.75

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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.