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Finding the Fourth Proportional to 10,727.74, 14,803.67 and 6,252.22

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Solution

The fourth proportional to 10,727.74, 14,803.67 and 6,252.22 is: 8,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.74 : 14,803.67 = 6,252.22 : x
  2. Step 2: Convert to fraction form
    10,727.74/14,803.67 = 6,252.22/x
  3. Step 3: Cross multiply
    10,727.74x = 14,803.67 × 6,252.22
  4. Step 4: Simplify right side
    10,727.74x = 92,555,835.78
  5. Step 5: Solve for x
    x = 92,555,835.78/10,727.74
  6. Step 6: Final answer
    x = 8,627.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.