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Finding the Fourth Proportional to 8,009.12, 12,012.01 and 2,164.36

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Solution

The fourth proportional to 8,009.12, 12,012.01 and 2,164.36 is: 3,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.12 : 12,012.01 = 2,164.36 : x
  2. Step 2: Convert to fraction form
    8,009.12/12,012.01 = 2,164.36/x
  3. Step 3: Cross multiply
    8,009.12x = 12,012.01 × 2,164.36
  4. Step 4: Simplify right side
    8,009.12x = 25,998,313.96
  5. Step 5: Solve for x
    x = 25,998,313.96/8,009.12
  6. Step 6: Final answer
    x = 3,246.09

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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.