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Finding the Fourth Proportional to 7,213.40, 10,828.20 and 5,577.20

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Solution

The fourth proportional to 7,213.40, 10,828.20 and 5,577.20 is: 8,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.40 : 10,828.20 = 5,577.20 : x
  2. Step 2: Convert to fraction form
    7,213.40/10,828.20 = 5,577.20/x
  3. Step 3: Cross multiply
    7,213.40x = 10,828.20 × 5,577.20
  4. Step 4: Simplify right side
    7,213.40x = 60,391,037.04
  5. Step 5: Solve for x
    x = 60,391,037.04/7,213.40
  6. Step 6: Final answer
    x = 8,372.06

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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.