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Finding the Fourth Proportional to 11,396.18, 15,717.75 and 7,418.54

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Solution

The fourth proportional to 11,396.18, 15,717.75 and 7,418.54 is: 10,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.18 : 15,717.75 = 7,418.54 : x
  2. Step 2: Convert to fraction form
    11,396.18/15,717.75 = 7,418.54/x
  3. Step 3: Cross multiply
    11,396.18x = 15,717.75 × 7,418.54
  4. Step 4: Simplify right side
    11,396.18x = 116,602,757.09
  5. Step 5: Solve for x
    x = 116,602,757.09/11,396.18
  6. Step 6: Final answer
    x = 10,231.74

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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.