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Finding the Fourth Proportional to 10,761.83, 14,850.65 and 6,286.85

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Solution

The fourth proportional to 10,761.83, 14,850.65 and 6,286.85 is: 8,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.83 : 14,850.65 = 6,286.85 : x
  2. Step 2: Convert to fraction form
    10,761.83/14,850.65 = 6,286.85/x
  3. Step 3: Cross multiply
    10,761.83x = 14,850.65 × 6,286.85
  4. Step 4: Simplify right side
    10,761.83x = 93,363,777.52
  5. Step 5: Solve for x
    x = 93,363,777.52/10,761.83
  6. Step 6: Final answer
    x = 8,675.46

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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.