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Finding the Fourth Proportional to 7,172.80, 10,758.36 and 2,242

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Solution

The fourth proportional to 7,172.80, 10,758.36 and 2,242 is: 3,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.80 : 10,758.36 = 2,242 : x
  2. Step 2: Convert to fraction form
    7,172.80/10,758.36 = 2,242/x
  3. Step 3: Cross multiply
    7,172.80x = 10,758.36 × 2,242
  4. Step 4: Simplify right side
    7,172.80x = 24,120,243.12
  5. Step 5: Solve for x
    x = 24,120,243.12/7,172.80
  6. Step 6: Final answer
    x = 3,362.74

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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.