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Finding the Fourth Proportional to 7,342, 11,017.38 and 3,181.24

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Solution

The fourth proportional to 7,342, 11,017.38 and 3,181.24 is: 4,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342 : 11,017.38 = 3,181.24 : x
  2. Step 2: Convert to fraction form
    7,342/11,017.38 = 3,181.24/x
  3. Step 3: Cross multiply
    7,342x = 11,017.38 × 3,181.24
  4. Step 4: Simplify right side
    7,342x = 35,048,929.95
  5. Step 5: Solve for x
    x = 35,048,929.95/7,342
  6. Step 6: Final answer
    x = 4,773.76

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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.