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Finding the Fourth Proportional to 7,462.32, 11,193.48 and 2,267.76

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Solution

The fourth proportional to 7,462.32, 11,193.48 and 2,267.76 is: 3,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.32 : 11,193.48 = 2,267.76 : x
  2. Step 2: Convert to fraction form
    7,462.32/11,193.48 = 2,267.76/x
  3. Step 3: Cross multiply
    7,462.32x = 11,193.48 × 2,267.76
  4. Step 4: Simplify right side
    7,462.32x = 25,384,126.20
  5. Step 5: Solve for x
    x = 25,384,126.20/7,462.32
  6. Step 6: Final answer
    x = 3,401.64

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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.