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Finding the Fourth Proportional to 7,441.82, 11,145.12 and 6,462.68

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Solution

The fourth proportional to 7,441.82, 11,145.12 and 6,462.68 is: 9,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.82 : 11,145.12 = 6,462.68 : x
  2. Step 2: Convert to fraction form
    7,441.82/11,145.12 = 6,462.68/x
  3. Step 3: Cross multiply
    7,441.82x = 11,145.12 × 6,462.68
  4. Step 4: Simplify right side
    7,441.82x = 72,027,288.40
  5. Step 5: Solve for x
    x = 72,027,288.40/7,441.82
  6. Step 6: Final answer
    x = 9,678.73

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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.