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Finding the Fourth Proportional to 6,957.68, 10,437.98 and 2,277.33

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Solution

The fourth proportional to 6,957.68, 10,437.98 and 2,277.33 is: 3,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.68 : 10,437.98 = 2,277.33 : x
  2. Step 2: Convert to fraction form
    6,957.68/10,437.98 = 2,277.33/x
  3. Step 3: Cross multiply
    6,957.68x = 10,437.98 × 2,277.33
  4. Step 4: Simplify right side
    6,957.68x = 23,770,745.99
  5. Step 5: Solve for x
    x = 23,770,745.99/6,957.68
  6. Step 6: Final answer
    x = 3,416.48

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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.