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Finding the Fourth Proportional to 7,289.62, 10,939.25 and 4,005

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Solution

The fourth proportional to 7,289.62, 10,939.25 and 4,005 is: 6,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.62 : 10,939.25 = 4,005 : x
  2. Step 2: Convert to fraction form
    7,289.62/10,939.25 = 4,005/x
  3. Step 3: Cross multiply
    7,289.62x = 10,939.25 × 4,005
  4. Step 4: Simplify right side
    7,289.62x = 43,811,706.26
  5. Step 5: Solve for x
    x = 43,811,706.26/7,289.62
  6. Step 6: Final answer
    x = 6,010.15

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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.