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Finding the Fourth Proportional to 7,205.16, 10,809.36 and 5,213.37

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Solution

The fourth proportional to 7,205.16, 10,809.36 and 5,213.37 is: 7,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.16 : 10,809.36 = 5,213.37 : x
  2. Step 2: Convert to fraction form
    7,205.16/10,809.36 = 5,213.37/x
  3. Step 3: Cross multiply
    7,205.16x = 10,809.36 × 5,213.37
  4. Step 4: Simplify right side
    7,205.16x = 56,353,193.14
  5. Step 5: Solve for x
    x = 56,353,193.14/7,205.16
  6. Step 6: Final answer
    x = 7,821.23

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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.