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Finding the Fourth Proportional to 8,135.16, 12,201.31 and 3,206.17

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Solution

The fourth proportional to 8,135.16, 12,201.31 and 3,206.17 is: 4,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.16 : 12,201.31 = 3,206.17 : x
  2. Step 2: Convert to fraction form
    8,135.16/12,201.31 = 3,206.17/x
  3. Step 3: Cross multiply
    8,135.16x = 12,201.31 × 3,206.17
  4. Step 4: Simplify right side
    8,135.16x = 39,119,474.08
  5. Step 5: Solve for x
    x = 39,119,474.08/8,135.16
  6. Step 6: Final answer
    x = 4,808.69

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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.