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Finding the Fourth Proportional to 7,331.40, 10,997.10 and 6,510.60

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Solution

The fourth proportional to 7,331.40, 10,997.10 and 6,510.60 is: 9,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.40 : 10,997.10 = 6,510.60 : x
  2. Step 2: Convert to fraction form
    7,331.40/10,997.10 = 6,510.60/x
  3. Step 3: Cross multiply
    7,331.40x = 10,997.10 × 6,510.60
  4. Step 4: Simplify right side
    7,331.40x = 71,597,719.26
  5. Step 5: Solve for x
    x = 71,597,719.26/7,331.40
  6. Step 6: Final answer
    x = 9,765.90

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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.