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Finding the Fourth Proportional to 10,005.75, 15,003.91 and 5,846.96

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Solution

The fourth proportional to 10,005.75, 15,003.91 and 5,846.96 is: 8,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.75 : 15,003.91 = 5,846.96 : x
  2. Step 2: Convert to fraction form
    10,005.75/15,003.91 = 5,846.96/x
  3. Step 3: Cross multiply
    10,005.75x = 15,003.91 × 5,846.96
  4. Step 4: Simplify right side
    10,005.75x = 87,727,186.59
  5. Step 5: Solve for x
    x = 87,727,186.59/10,005.75
  6. Step 6: Final answer
    x = 8,767.68

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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.