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Finding the Fourth Proportional to 10,776.79, 14,874.02 and 6,745.49

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Solution

The fourth proportional to 10,776.79, 14,874.02 and 6,745.49 is: 9,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.79 : 14,874.02 = 6,745.49 : x
  2. Step 2: Convert to fraction form
    10,776.79/14,874.02 = 6,745.49/x
  3. Step 3: Cross multiply
    10,776.79x = 14,874.02 × 6,745.49
  4. Step 4: Simplify right side
    10,776.79x = 100,332,553.17
  5. Step 5: Solve for x
    x = 100,332,553.17/10,776.79
  6. Step 6: Final answer
    x = 9,310.06

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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.