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Finding the Fourth Proportional to 7,202.44, 10,790.70 and 6,697

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Solution

The fourth proportional to 7,202.44, 10,790.70 and 6,697 is: 10,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.44 : 10,790.70 = 6,697 : x
  2. Step 2: Convert to fraction form
    7,202.44/10,790.70 = 6,697/x
  3. Step 3: Cross multiply
    7,202.44x = 10,790.70 × 6,697
  4. Step 4: Simplify right side
    7,202.44x = 72,265,317.90
  5. Step 5: Solve for x
    x = 72,265,317.90/7,202.44
  6. Step 6: Final answer
    x = 10,033.45

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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.