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Finding the Fourth Proportional to 7,493.78, 11,240.68 and 4,164.14

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Solution

The fourth proportional to 7,493.78, 11,240.68 and 4,164.14 is: 6,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.78 : 11,240.68 = 4,164.14 : x
  2. Step 2: Convert to fraction form
    7,493.78/11,240.68 = 4,164.14/x
  3. Step 3: Cross multiply
    7,493.78x = 11,240.68 × 4,164.14
  4. Step 4: Simplify right side
    7,493.78x = 46,807,765.22
  5. Step 5: Solve for x
    x = 46,807,765.22/7,493.78
  6. Step 6: Final answer
    x = 6,246.22

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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.