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Finding the Fourth Proportional to 7,561.57, 11,346.21 and 3,400.75

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Solution

The fourth proportional to 7,561.57, 11,346.21 and 3,400.75 is: 5,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.57 : 11,346.21 = 3,400.75 : x
  2. Step 2: Convert to fraction form
    7,561.57/11,346.21 = 3,400.75/x
  3. Step 3: Cross multiply
    7,561.57x = 11,346.21 × 3,400.75
  4. Step 4: Simplify right side
    7,561.57x = 38,585,623.66
  5. Step 5: Solve for x
    x = 38,585,623.66/7,561.57
  6. Step 6: Final answer
    x = 5,102.86

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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.