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Finding the Fourth Proportional to 8,072.88, 12,109.00 and 2,809.10

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Solution

The fourth proportional to 8,072.88, 12,109.00 and 2,809.10 is: 4,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.88 : 12,109.00 = 2,809.10 : x
  2. Step 2: Convert to fraction form
    8,072.88/12,109.00 = 2,809.10/x
  3. Step 3: Cross multiply
    8,072.88x = 12,109.00 × 2,809.10
  4. Step 4: Simplify right side
    8,072.88x = 34,015,347.58
  5. Step 5: Solve for x
    x = 34,015,347.58/8,072.88
  6. Step 6: Final answer
    x = 4,213.53

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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.