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Finding the Fourth Proportional to 10,704.84, 14,772.72 and 5,859.57

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Solution

The fourth proportional to 10,704.84, 14,772.72 and 5,859.57 is: 8,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.84 : 14,772.72 = 5,859.57 : x
  2. Step 2: Convert to fraction form
    10,704.84/14,772.72 = 5,859.57/x
  3. Step 3: Cross multiply
    10,704.84x = 14,772.72 × 5,859.57
  4. Step 4: Simplify right side
    10,704.84x = 86,561,847.82
  5. Step 5: Solve for x
    x = 86,561,847.82/10,704.84
  6. Step 6: Final answer
    x = 8,086.23

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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.