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Finding the Fourth Proportional to 6,126.53, 9,190.10 and 1,744.30

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Solution

The fourth proportional to 6,126.53, 9,190.10 and 1,744.30 is: 2,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.53 : 9,190.10 = 1,744.30 : x
  2. Step 2: Convert to fraction form
    6,126.53/9,190.10 = 1,744.30/x
  3. Step 3: Cross multiply
    6,126.53x = 9,190.10 × 1,744.30
  4. Step 4: Simplify right side
    6,126.53x = 16,030,272.82
  5. Step 5: Solve for x
    x = 16,030,272.82/6,126.53
  6. Step 6: Final answer
    x = 2,616.53

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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.