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Finding the Fourth Proportional to 11,844.66, 16,345.66 and 6,467.11

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Solution

The fourth proportional to 11,844.66, 16,345.66 and 6,467.11 is: 8,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.66 : 16,345.66 = 6,467.11 : x
  2. Step 2: Convert to fraction form
    11,844.66/16,345.66 = 6,467.11/x
  3. Step 3: Cross multiply
    11,844.66x = 16,345.66 × 6,467.11
  4. Step 4: Simplify right side
    11,844.66x = 105,709,181.24
  5. Step 5: Solve for x
    x = 105,709,181.24/11,844.66
  6. Step 6: Final answer
    x = 8,924.63

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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.