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Finding the Fourth Proportional to 7,321.50, 10,978.81 and 3,158.91

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Solution

The fourth proportional to 7,321.50, 10,978.81 and 3,158.91 is: 4,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.50 : 10,978.81 = 3,158.91 : x
  2. Step 2: Convert to fraction form
    7,321.50/10,978.81 = 3,158.91/x
  3. Step 3: Cross multiply
    7,321.50x = 10,978.81 × 3,158.91
  4. Step 4: Simplify right side
    7,321.50x = 34,681,064.80
  5. Step 5: Solve for x
    x = 34,681,064.80/7,321.50
  6. Step 6: Final answer
    x = 4,736.88

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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.