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Finding the Fourth Proportional to 10,006.75, 15,005.41 and 5,847.96

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Solution

The fourth proportional to 10,006.75, 15,005.41 and 5,847.96 is: 8,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.75 : 15,005.41 = 5,847.96 : x
  2. Step 2: Convert to fraction form
    10,006.75/15,005.41 = 5,847.96/x
  3. Step 3: Cross multiply
    10,006.75x = 15,005.41 × 5,847.96
  4. Step 4: Simplify right side
    10,006.75x = 87,751,037.46
  5. Step 5: Solve for x
    x = 87,751,037.46/10,006.75
  6. Step 6: Final answer
    x = 8,769.18

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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.