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Finding the Fourth Proportional to 11,800.15, 16,283.94 and 6,494.85

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Solution

The fourth proportional to 11,800.15, 16,283.94 and 6,494.85 is: 8,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.15 : 16,283.94 = 6,494.85 : x
  2. Step 2: Convert to fraction form
    11,800.15/16,283.94 = 6,494.85/x
  3. Step 3: Cross multiply
    11,800.15x = 16,283.94 × 6,494.85
  4. Step 4: Simplify right side
    11,800.15x = 105,761,723.35
  5. Step 5: Solve for x
    x = 105,761,723.35/11,800.15
  6. Step 6: Final answer
    x = 8,962.75

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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.