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Finding the Fourth Proportional to 10,767.67, 14,860.78 and 6,052.86

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Solution

The fourth proportional to 10,767.67, 14,860.78 and 6,052.86 is: 8,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.67 : 14,860.78 = 6,052.86 : x
  2. Step 2: Convert to fraction form
    10,767.67/14,860.78 = 6,052.86/x
  3. Step 3: Cross multiply
    10,767.67x = 14,860.78 × 6,052.86
  4. Step 4: Simplify right side
    10,767.67x = 89,950,205.70
  5. Step 5: Solve for x
    x = 89,950,205.70/10,767.67
  6. Step 6: Final answer
    x = 8,353.73

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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.