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Finding the Fourth Proportional to 7,461.44, 11,191.44 and 2,267.36

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Solution

The fourth proportional to 7,461.44, 11,191.44 and 2,267.36 is: 3,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.44 : 11,191.44 = 2,267.36 : x
  2. Step 2: Convert to fraction form
    7,461.44/11,191.44 = 2,267.36/x
  3. Step 3: Cross multiply
    7,461.44x = 11,191.44 × 2,267.36
  4. Step 4: Simplify right side
    7,461.44x = 25,375,023.40
  5. Step 5: Solve for x
    x = 25,375,023.40/7,461.44
  6. Step 6: Final answer
    x = 3,400.82

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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.