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Finding the Fourth Proportional to 7,874.37, 11,811.54 and 5,401.65

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Solution

The fourth proportional to 7,874.37, 11,811.54 and 5,401.65 is: 8,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.37 : 11,811.54 = 5,401.65 : x
  2. Step 2: Convert to fraction form
    7,874.37/11,811.54 = 5,401.65/x
  3. Step 3: Cross multiply
    7,874.37x = 11,811.54 × 5,401.65
  4. Step 4: Simplify right side
    7,874.37x = 63,801,805.04
  5. Step 5: Solve for x
    x = 63,801,805.04/7,874.37
  6. Step 6: Final answer
    x = 8,102.46

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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.