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Finding the Fourth Proportional to 8,605.75, 12,910.80 and 2,449.75

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Solution

The fourth proportional to 8,605.75, 12,910.80 and 2,449.75 is: 3,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.75 : 12,910.80 = 2,449.75 : x
  2. Step 2: Convert to fraction form
    8,605.75/12,910.80 = 2,449.75/x
  3. Step 3: Cross multiply
    8,605.75x = 12,910.80 × 2,449.75
  4. Step 4: Simplify right side
    8,605.75x = 31,628,232.30
  5. Step 5: Solve for x
    x = 31,628,232.30/8,605.75
  6. Step 6: Final answer
    x = 3,675.24

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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.