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Finding the Fourth Proportional to 10,704.69, 14,777.43 and 6,226.81

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Solution

The fourth proportional to 10,704.69, 14,777.43 and 6,226.81 is: 8,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.69 : 14,777.43 = 6,226.81 : x
  2. Step 2: Convert to fraction form
    10,704.69/14,777.43 = 6,226.81/x
  3. Step 3: Cross multiply
    10,704.69x = 14,777.43 × 6,226.81
  4. Step 4: Simplify right side
    10,704.69x = 92,016,143.88
  5. Step 5: Solve for x
    x = 92,016,143.88/10,704.69
  6. Step 6: Final answer
    x = 8,595.88

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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.