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Finding the Fourth Proportional to 11,442.44, 15,793.02 and 6,967.64

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Solution

The fourth proportional to 11,442.44, 15,793.02 and 6,967.64 is: 9,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.44 : 15,793.02 = 6,967.64 : x
  2. Step 2: Convert to fraction form
    11,442.44/15,793.02 = 6,967.64/x
  3. Step 3: Cross multiply
    11,442.44x = 15,793.02 × 6,967.64
  4. Step 4: Simplify right side
    11,442.44x = 110,040,077.87
  5. Step 5: Solve for x
    x = 110,040,077.87/11,442.44
  6. Step 6: Final answer
    x = 9,616.84

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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.