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Finding the Fourth Proportional to 10,704.71, 14,769.20 and 6,227.64

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Solution

The fourth proportional to 10,704.71, 14,769.20 and 6,227.64 is: 8,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.71 : 14,769.20 = 6,227.64 : x
  2. Step 2: Convert to fraction form
    10,704.71/14,769.20 = 6,227.64/x
  3. Step 3: Cross multiply
    10,704.71x = 14,769.20 × 6,227.64
  4. Step 4: Simplify right side
    10,704.71x = 91,977,276.26
  5. Step 5: Solve for x
    x = 91,977,276.26/10,704.71
  6. Step 6: Final answer
    x = 8,592.22

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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.