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Finding the Fourth Proportional to 7,172.42, 10,738.67 and 5,412.11

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Solution

The fourth proportional to 7,172.42, 10,738.67 and 5,412.11 is: 8,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.42 : 10,738.67 = 5,412.11 : x
  2. Step 2: Convert to fraction form
    7,172.42/10,738.67 = 5,412.11/x
  3. Step 3: Cross multiply
    7,172.42x = 10,738.67 × 5,412.11
  4. Step 4: Simplify right side
    7,172.42x = 58,118,782.54
  5. Step 5: Solve for x
    x = 58,118,782.54/7,172.42
  6. Step 6: Final answer
    x = 8,103.10

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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.