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Finding the Fourth Proportional to 7,459.80, 11,189.70 and 6,896.60

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Solution

The fourth proportional to 7,459.80, 11,189.70 and 6,896.60 is: 10,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.80 : 11,189.70 = 6,896.60 : x
  2. Step 2: Convert to fraction form
    7,459.80/11,189.70 = 6,896.60/x
  3. Step 3: Cross multiply
    7,459.80x = 11,189.70 × 6,896.60
  4. Step 4: Simplify right side
    7,459.80x = 77,170,885.02
  5. Step 5: Solve for x
    x = 77,170,885.02/7,459.80
  6. Step 6: Final answer
    x = 10,344.90

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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.