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Finding the Fourth Proportional to 7,968.60, 10,996.65 and 4,431.78

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Solution

The fourth proportional to 7,968.60, 10,996.65 and 4,431.78 is: 6,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.60 : 10,996.65 = 4,431.78 : x
  2. Step 2: Convert to fraction form
    7,968.60/10,996.65 = 4,431.78/x
  3. Step 3: Cross multiply
    7,968.60x = 10,996.65 × 4,431.78
  4. Step 4: Simplify right side
    7,968.60x = 48,734,733.54
  5. Step 5: Solve for x
    x = 48,734,733.54/7,968.60
  6. Step 6: Final answer
    x = 6,115.85

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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.