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Finding the Fourth Proportional to 7,930.64, 10,944.14 and 4,393.84

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Solution

The fourth proportional to 7,930.64, 10,944.14 and 4,393.84 is: 6,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.64 : 10,944.14 = 4,393.84 : x
  2. Step 2: Convert to fraction form
    7,930.64/10,944.14 = 4,393.84/x
  3. Step 3: Cross multiply
    7,930.64x = 10,944.14 × 4,393.84
  4. Step 4: Simplify right side
    7,930.64x = 48,086,800.10
  5. Step 5: Solve for x
    x = 48,086,800.10/7,930.64
  6. Step 6: Final answer
    x = 6,063.42

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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.