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Finding the Fourth Proportional to 6,945.84, 10,400.04 and 3,652.08

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Solution

The fourth proportional to 6,945.84, 10,400.04 and 3,652.08 is: 5,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.84 : 10,400.04 = 3,652.08 : x
  2. Step 2: Convert to fraction form
    6,945.84/10,400.04 = 3,652.08/x
  3. Step 3: Cross multiply
    6,945.84x = 10,400.04 × 3,652.08
  4. Step 4: Simplify right side
    6,945.84x = 37,981,778.08
  5. Step 5: Solve for x
    x = 37,981,778.08/6,945.84
  6. Step 6: Final answer
    x = 5,468.28

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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.