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Finding the Fourth Proportional to 7,958.84, 11,929.26 and 4,055

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Solution

The fourth proportional to 7,958.84, 11,929.26 and 4,055 is: 6,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.84 : 11,929.26 = 4,055 : x
  2. Step 2: Convert to fraction form
    7,958.84/11,929.26 = 4,055/x
  3. Step 3: Cross multiply
    7,958.84x = 11,929.26 × 4,055
  4. Step 4: Simplify right side
    7,958.84x = 48,373,149.30
  5. Step 5: Solve for x
    x = 48,373,149.30/7,958.84
  6. Step 6: Final answer
    x = 6,077.91

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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.