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Finding the Fourth Proportional to 7,771.97, 11,652.06 and 4,019.73

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Solution

The fourth proportional to 7,771.97, 11,652.06 and 4,019.73 is: 6,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.97 : 11,652.06 = 4,019.73 : x
  2. Step 2: Convert to fraction form
    7,771.97/11,652.06 = 4,019.73/x
  3. Step 3: Cross multiply
    7,771.97x = 11,652.06 × 4,019.73
  4. Step 4: Simplify right side
    7,771.97x = 46,838,135.14
  5. Step 5: Solve for x
    x = 46,838,135.14/7,771.97
  6. Step 6: Final answer
    x = 6,026.55

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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.