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Finding the Fourth Proportional to 11,198.54, 15,454.74 and 7,415.16

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Solution

The fourth proportional to 11,198.54, 15,454.74 and 7,415.16 is: 10,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.54 : 15,454.74 = 7,415.16 : x
  2. Step 2: Convert to fraction form
    11,198.54/15,454.74 = 7,415.16/x
  3. Step 3: Cross multiply
    11,198.54x = 15,454.74 × 7,415.16
  4. Step 4: Simplify right side
    11,198.54x = 114,599,369.86
  5. Step 5: Solve for x
    x = 114,599,369.86/11,198.54
  6. Step 6: Final answer
    x = 10,233.43

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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.