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Finding the Fourth Proportional to 8,109.30, 12,165.78 and 2,562.98

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Solution

The fourth proportional to 8,109.30, 12,165.78 and 2,562.98 is: 3,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.30 : 12,165.78 = 2,562.98 : x
  2. Step 2: Convert to fraction form
    8,109.30/12,165.78 = 2,562.98/x
  3. Step 3: Cross multiply
    8,109.30x = 12,165.78 × 2,562.98
  4. Step 4: Simplify right side
    8,109.30x = 31,180,650.82
  5. Step 5: Solve for x
    x = 31,180,650.82/8,109.30
  6. Step 6: Final answer
    x = 3,845.05

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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.