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Finding the Fourth Proportional to 6,940.29, 10,410.53 and 2,260.32

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Solution

The fourth proportional to 6,940.29, 10,410.53 and 2,260.32 is: 3,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.29 : 10,410.53 = 2,260.32 : x
  2. Step 2: Convert to fraction form
    6,940.29/10,410.53 = 2,260.32/x
  3. Step 3: Cross multiply
    6,940.29x = 10,410.53 × 2,260.32
  4. Step 4: Simplify right side
    6,940.29x = 23,531,129.17
  5. Step 5: Solve for x
    x = 23,531,129.17/6,940.29
  6. Step 6: Final answer
    x = 3,390.51

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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.