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Finding the Fourth Proportional to 10,883.98, 16,315.17 and 6,494.86

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Solution

The fourth proportional to 10,883.98, 16,315.17 and 6,494.86 is: 9,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.98 : 16,315.17 = 6,494.86 : x
  2. Step 2: Convert to fraction form
    10,883.98/16,315.17 = 6,494.86/x
  3. Step 3: Cross multiply
    10,883.98x = 16,315.17 × 6,494.86
  4. Step 4: Simplify right side
    10,883.98x = 105,964,745.03
  5. Step 5: Solve for x
    x = 105,964,745.03/10,883.98
  6. Step 6: Final answer
    x = 9,735.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.