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Finding the Fourth Proportional to 6,770.88, 10,156.47 and 2,090.90

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Solution

The fourth proportional to 6,770.88, 10,156.47 and 2,090.90 is: 3,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.88 : 10,156.47 = 2,090.90 : x
  2. Step 2: Convert to fraction form
    6,770.88/10,156.47 = 2,090.90/x
  3. Step 3: Cross multiply
    6,770.88x = 10,156.47 × 2,090.90
  4. Step 4: Simplify right side
    6,770.88x = 21,236,163.12
  5. Step 5: Solve for x
    x = 21,236,163.12/6,770.88
  6. Step 6: Final answer
    x = 3,136.40

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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.