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Finding the Fourth Proportional to 6,066.90, 8,371.72 and 3,414.25

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Solution

The fourth proportional to 6,066.90, 8,371.72 and 3,414.25 is: 4,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.90 : 8,371.72 = 3,414.25 : x
  2. Step 2: Convert to fraction form
    6,066.90/8,371.72 = 3,414.25/x
  3. Step 3: Cross multiply
    6,066.90x = 8,371.72 × 3,414.25
  4. Step 4: Simplify right side
    6,066.90x = 28,583,145.01
  5. Step 5: Solve for x
    x = 28,583,145.01/6,066.90
  6. Step 6: Final answer
    x = 4,711.33

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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.