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Finding the Fourth Proportional to 7,559.61, 11,327.87 and 3,174.66

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Solution

The fourth proportional to 7,559.61, 11,327.87 and 3,174.66 is: 4,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.61 : 11,327.87 = 3,174.66 : x
  2. Step 2: Convert to fraction form
    7,559.61/11,327.87 = 3,174.66/x
  3. Step 3: Cross multiply
    7,559.61x = 11,327.87 × 3,174.66
  4. Step 4: Simplify right side
    7,559.61x = 35,962,119.90
  5. Step 5: Solve for x
    x = 35,962,119.90/7,559.61
  6. Step 6: Final answer
    x = 4,757.14

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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.