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Finding the Fourth Proportional to 10,671.75, 14,727.41 and 5,956.94

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Solution

The fourth proportional to 10,671.75, 14,727.41 and 5,956.94 is: 8,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.75 : 14,727.41 = 5,956.94 : x
  2. Step 2: Convert to fraction form
    10,671.75/14,727.41 = 5,956.94/x
  3. Step 3: Cross multiply
    10,671.75x = 14,727.41 × 5,956.94
  4. Step 4: Simplify right side
    10,671.75x = 87,730,297.73
  5. Step 5: Solve for x
    x = 87,730,297.73/10,671.75
  6. Step 6: Final answer
    x = 8,220.80

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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.