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Finding the Fourth Proportional to 7,092.82, 10,644.90 and 3,197.53

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Solution

The fourth proportional to 7,092.82, 10,644.90 and 3,197.53 is: 4,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.82 : 10,644.90 = 3,197.53 : x
  2. Step 2: Convert to fraction form
    7,092.82/10,644.90 = 3,197.53/x
  3. Step 3: Cross multiply
    7,092.82x = 10,644.90 × 3,197.53
  4. Step 4: Simplify right side
    7,092.82x = 34,037,360.48
  5. Step 5: Solve for x
    x = 34,037,360.48/7,092.82
  6. Step 6: Final answer
    x = 4,798.85

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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.