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Finding the Fourth Proportional to 11,181.66, 15,414.42 and 7,814.01

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Solution

The fourth proportional to 11,181.66, 15,414.42 and 7,814.01 is: 10,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.66 : 15,414.42 = 7,814.01 : x
  2. Step 2: Convert to fraction form
    11,181.66/15,414.42 = 7,814.01/x
  3. Step 3: Cross multiply
    11,181.66x = 15,414.42 × 7,814.01
  4. Step 4: Simplify right side
    11,181.66x = 120,448,519.13
  5. Step 5: Solve for x
    x = 120,448,519.13/11,181.66
  6. Step 6: Final answer
    x = 10,771.97

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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.