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Finding the Fourth Proportional to 6,971.81, 10,435.82 and 3,965.90

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Solution

The fourth proportional to 6,971.81, 10,435.82 and 3,965.90 is: 5,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.81 : 10,435.82 = 3,965.90 : x
  2. Step 2: Convert to fraction form
    6,971.81/10,435.82 = 3,965.90/x
  3. Step 3: Cross multiply
    6,971.81x = 10,435.82 × 3,965.90
  4. Step 4: Simplify right side
    6,971.81x = 41,387,346.53
  5. Step 5: Solve for x
    x = 41,387,346.53/6,971.81
  6. Step 6: Final answer
    x = 5,936.39

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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.