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Finding the Fourth Proportional to 7,189.41, 10,800.45 and 6,205.26

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Solution

The fourth proportional to 7,189.41, 10,800.45 and 6,205.26 is: 9,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.41 : 10,800.45 = 6,205.26 : x
  2. Step 2: Convert to fraction form
    7,189.41/10,800.45 = 6,205.26/x
  3. Step 3: Cross multiply
    7,189.41x = 10,800.45 × 6,205.26
  4. Step 4: Simplify right side
    7,189.41x = 67,019,600.37
  5. Step 5: Solve for x
    x = 67,019,600.37/7,189.41
  6. Step 6: Final answer
    x = 9,321.99

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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.