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Finding the Fourth Proportional to 10,930.64, 15,083.72 and 5,961.68

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Solution

The fourth proportional to 10,930.64, 15,083.72 and 5,961.68 is: 8,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.64 : 15,083.72 = 5,961.68 : x
  2. Step 2: Convert to fraction form
    10,930.64/15,083.72 = 5,961.68/x
  3. Step 3: Cross multiply
    10,930.64x = 15,083.72 × 5,961.68
  4. Step 4: Simplify right side
    10,930.64x = 89,924,311.85
  5. Step 5: Solve for x
    x = 89,924,311.85/10,930.64
  6. Step 6: Final answer
    x = 8,226.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.