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Finding the Fourth Proportional to 8,116.68, 12,165.81 and 3,433.77

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Solution

The fourth proportional to 8,116.68, 12,165.81 and 3,433.77 is: 5,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.68 : 12,165.81 = 3,433.77 : x
  2. Step 2: Convert to fraction form
    8,116.68/12,165.81 = 3,433.77/x
  3. Step 3: Cross multiply
    8,116.68x = 12,165.81 × 3,433.77
  4. Step 4: Simplify right side
    8,116.68x = 41,774,580.53
  5. Step 5: Solve for x
    x = 41,774,580.53/8,116.68
  6. Step 6: Final answer
    x = 5,146.75

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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.