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Finding the Fourth Proportional to 7,077.98, 10,608.77 and 3,174.19

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Solution

The fourth proportional to 7,077.98, 10,608.77 and 3,174.19 is: 4,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.98 : 10,608.77 = 3,174.19 : x
  2. Step 2: Convert to fraction form
    7,077.98/10,608.77 = 3,174.19/x
  3. Step 3: Cross multiply
    7,077.98x = 10,608.77 × 3,174.19
  4. Step 4: Simplify right side
    7,077.98x = 33,674,233.06
  5. Step 5: Solve for x
    x = 33,674,233.06/7,077.98
  6. Step 6: Final answer
    x = 4,757.60

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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.