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Finding the Fourth Proportional to 7,872.13, 11,811.08 and 3,765.25

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Solution

The fourth proportional to 7,872.13, 11,811.08 and 3,765.25 is: 5,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.13 : 11,811.08 = 3,765.25 : x
  2. Step 2: Convert to fraction form
    7,872.13/11,811.08 = 3,765.25/x
  3. Step 3: Cross multiply
    7,872.13x = 11,811.08 × 3,765.25
  4. Step 4: Simplify right side
    7,872.13x = 44,471,668.97
  5. Step 5: Solve for x
    x = 44,471,668.97/7,872.13
  6. Step 6: Final answer
    x = 5,649.25

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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.