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Finding the Fourth Proportional to 7,234.40, 10,874.80 and 6,720.80

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Solution

The fourth proportional to 7,234.40, 10,874.80 and 6,720.80 is: 10,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.40 : 10,874.80 = 6,720.80 : x
  2. Step 2: Convert to fraction form
    7,234.40/10,874.80 = 6,720.80/x
  3. Step 3: Cross multiply
    7,234.40x = 10,874.80 × 6,720.80
  4. Step 4: Simplify right side
    7,234.40x = 73,087,355.84
  5. Step 5: Solve for x
    x = 73,087,355.84/7,234.40
  6. Step 6: Final answer
    x = 10,102.75

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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.