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Finding the Fourth Proportional to 11,442.54, 15,785.13 and 7,198.86

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Solution

The fourth proportional to 11,442.54, 15,785.13 and 7,198.86 is: 9,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.54 : 15,785.13 = 7,198.86 : x
  2. Step 2: Convert to fraction form
    11,442.54/15,785.13 = 7,198.86/x
  3. Step 3: Cross multiply
    11,442.54x = 15,785.13 × 7,198.86
  4. Step 4: Simplify right side
    11,442.54x = 113,634,940.95
  5. Step 5: Solve for x
    x = 113,634,940.95/11,442.54
  6. Step 6: Final answer
    x = 9,930.92

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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.