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Finding the Fourth Proportional to 7,462.41, 11,189.84 and 4,174.62

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Solution

The fourth proportional to 7,462.41, 11,189.84 and 4,174.62 is: 6,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.41 : 11,189.84 = 4,174.62 : x
  2. Step 2: Convert to fraction form
    7,462.41/11,189.84 = 4,174.62/x
  3. Step 3: Cross multiply
    7,462.41x = 11,189.84 × 4,174.62
  4. Step 4: Simplify right side
    7,462.41x = 46,713,308.99
  5. Step 5: Solve for x
    x = 46,713,308.99/7,462.41
  6. Step 6: Final answer
    x = 6,259.82

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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.