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Finding the Fourth Proportional to 6,935.87, 10,406.43 and 4,164.48

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Solution

The fourth proportional to 6,935.87, 10,406.43 and 4,164.48 is: 6,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.87 : 10,406.43 = 4,164.48 : x
  2. Step 2: Convert to fraction form
    6,935.87/10,406.43 = 4,164.48/x
  3. Step 3: Cross multiply
    6,935.87x = 10,406.43 × 4,164.48
  4. Step 4: Simplify right side
    6,935.87x = 43,337,369.61
  5. Step 5: Solve for x
    x = 43,337,369.61/6,935.87
  6. Step 6: Final answer
    x = 6,248.30

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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.