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Finding the Fourth Proportional to 7,612.68, 11,419.20 and 2,418.60

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Solution

The fourth proportional to 7,612.68, 11,419.20 and 2,418.60 is: 3,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.68 : 11,419.20 = 2,418.60 : x
  2. Step 2: Convert to fraction form
    7,612.68/11,419.20 = 2,418.60/x
  3. Step 3: Cross multiply
    7,612.68x = 11,419.20 × 2,418.60
  4. Step 4: Simplify right side
    7,612.68x = 27,618,477.12
  5. Step 5: Solve for x
    x = 27,618,477.12/7,612.68
  6. Step 6: Final answer
    x = 3,627.96

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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.