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Finding the Fourth Proportional to 8,109.59, 12,165.05 and 2,563.25

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Solution

The fourth proportional to 8,109.59, 12,165.05 and 2,563.25 is: 3,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.59 : 12,165.05 = 2,563.25 : x
  2. Step 2: Convert to fraction form
    8,109.59/12,165.05 = 2,563.25/x
  3. Step 3: Cross multiply
    8,109.59x = 12,165.05 × 2,563.25
  4. Step 4: Simplify right side
    8,109.59x = 31,182,064.41
  5. Step 5: Solve for x
    x = 31,182,064.41/8,109.59
  6. Step 6: Final answer
    x = 3,845.09

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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.