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Finding the Fourth Proportional to 11,198.93, 15,443.06 and 7,420.75

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Solution

The fourth proportional to 11,198.93, 15,443.06 and 7,420.75 is: 10,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.93 : 15,443.06 = 7,420.75 : x
  2. Step 2: Convert to fraction form
    11,198.93/15,443.06 = 7,420.75/x
  3. Step 3: Cross multiply
    11,198.93x = 15,443.06 × 7,420.75
  4. Step 4: Simplify right side
    11,198.93x = 114,599,011.78
  5. Step 5: Solve for x
    x = 114,599,011.78/11,198.93
  6. Step 6: Final answer
    x = 10,233.04

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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.