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Finding the Fourth Proportional to 8,471.72, 12,704.45 and 2,923.56

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Solution

The fourth proportional to 8,471.72, 12,704.45 and 2,923.56 is: 4,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.72 : 12,704.45 = 2,923.56 : x
  2. Step 2: Convert to fraction form
    8,471.72/12,704.45 = 2,923.56/x
  3. Step 3: Cross multiply
    8,471.72x = 12,704.45 × 2,923.56
  4. Step 4: Simplify right side
    8,471.72x = 37,142,207.22
  5. Step 5: Solve for x
    x = 37,142,207.22/8,471.72
  6. Step 6: Final answer
    x = 4,384.26

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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.