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Finding the Fourth Proportional to 7,094.34, 10,638.60 and 2,162.22

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Solution

The fourth proportional to 7,094.34, 10,638.60 and 2,162.22 is: 3,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.34 : 10,638.60 = 2,162.22 : x
  2. Step 2: Convert to fraction form
    7,094.34/10,638.60 = 2,162.22/x
  3. Step 3: Cross multiply
    7,094.34x = 10,638.60 × 2,162.22
  4. Step 4: Simplify right side
    7,094.34x = 23,002,993.69
  5. Step 5: Solve for x
    x = 23,002,993.69/7,094.34
  6. Step 6: Final answer
    x = 3,242.44

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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.