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Finding the Fourth Proportional to 7,425.78, 11,138.88 and 2,231.64

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Solution

The fourth proportional to 7,425.78, 11,138.88 and 2,231.64 is: 3,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.78 : 11,138.88 = 2,231.64 : x
  2. Step 2: Convert to fraction form
    7,425.78/11,138.88 = 2,231.64/x
  3. Step 3: Cross multiply
    7,425.78x = 11,138.88 × 2,231.64
  4. Step 4: Simplify right side
    7,425.78x = 24,857,970.16
  5. Step 5: Solve for x
    x = 24,857,970.16/7,425.78
  6. Step 6: Final answer
    x = 3,347.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.