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Finding the Fourth Proportional to 7,340.68, 11,012.70 and 3,181.38

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Solution

The fourth proportional to 7,340.68, 11,012.70 and 3,181.38 is: 4,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.68 : 11,012.70 = 3,181.38 : x
  2. Step 2: Convert to fraction form
    7,340.68/11,012.70 = 3,181.38/x
  3. Step 3: Cross multiply
    7,340.68x = 11,012.70 × 3,181.38
  4. Step 4: Simplify right side
    7,340.68x = 35,035,583.53
  5. Step 5: Solve for x
    x = 35,035,583.53/7,340.68
  6. Step 6: Final answer
    x = 4,772.80

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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.