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Finding the Fourth Proportional to 6,165.81, 8,511.63 and 3,930.75

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Solution

The fourth proportional to 6,165.81, 8,511.63 and 3,930.75 is: 5,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.81 : 8,511.63 = 3,930.75 : x
  2. Step 2: Convert to fraction form
    6,165.81/8,511.63 = 3,930.75/x
  3. Step 3: Cross multiply
    6,165.81x = 8,511.63 × 3,930.75
  4. Step 4: Simplify right side
    6,165.81x = 33,457,089.62
  5. Step 5: Solve for x
    x = 33,457,089.62/6,165.81
  6. Step 6: Final answer
    x = 5,426.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.