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Finding the Fourth Proportional to 7,287.40, 10,922.82 and 6,408.18

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Solution

The fourth proportional to 7,287.40, 10,922.82 and 6,408.18 is: 9,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.40 : 10,922.82 = 6,408.18 : x
  2. Step 2: Convert to fraction form
    7,287.40/10,922.82 = 6,408.18/x
  3. Step 3: Cross multiply
    7,287.40x = 10,922.82 × 6,408.18
  4. Step 4: Simplify right side
    7,287.40x = 69,995,372.64
  5. Step 5: Solve for x
    x = 69,995,372.64/7,287.40
  6. Step 6: Final answer
    x = 9,604.98

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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.