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Finding the Fourth Proportional to 6,957.25, 10,438.44 and 3,260.68

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Solution

The fourth proportional to 6,957.25, 10,438.44 and 3,260.68 is: 4,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.25 : 10,438.44 = 3,260.68 : x
  2. Step 2: Convert to fraction form
    6,957.25/10,438.44 = 3,260.68/x
  3. Step 3: Cross multiply
    6,957.25x = 10,438.44 × 3,260.68
  4. Step 4: Simplify right side
    6,957.25x = 34,036,374.22
  5. Step 5: Solve for x
    x = 34,036,374.22/6,957.25
  6. Step 6: Final answer
    x = 4,892.22

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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.