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Finding the Fourth Proportional to 11,336.24, 15,642.83 and 6,299.65

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Solution

The fourth proportional to 11,336.24, 15,642.83 and 6,299.65 is: 8,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336.24 : 15,642.83 = 6,299.65 : x
  2. Step 2: Convert to fraction form
    11,336.24/15,642.83 = 6,299.65/x
  3. Step 3: Cross multiply
    11,336.24x = 15,642.83 × 6,299.65
  4. Step 4: Simplify right side
    11,336.24x = 98,544,323.02
  5. Step 5: Solve for x
    x = 98,544,323.02/11,336.24
  6. Step 6: Final answer
    x = 8,692.86

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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.