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Finding the Fourth Proportional to 7,185.74, 10,781.68 and 2,255.80

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Solution

The fourth proportional to 7,185.74, 10,781.68 and 2,255.80 is: 3,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.74 : 10,781.68 = 2,255.80 : x
  2. Step 2: Convert to fraction form
    7,185.74/10,781.68 = 2,255.80/x
  3. Step 3: Cross multiply
    7,185.74x = 10,781.68 × 2,255.80
  4. Step 4: Simplify right side
    7,185.74x = 24,321,311.94
  5. Step 5: Solve for x
    x = 24,321,311.94/7,185.74
  6. Step 6: Final answer
    x = 3,384.66

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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.