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Finding the Fourth Proportional to 7,928.94, 11,892.51 and 2,086

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Solution

The fourth proportional to 7,928.94, 11,892.51 and 2,086 is: 3,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.94 : 11,892.51 = 2,086 : x
  2. Step 2: Convert to fraction form
    7,928.94/11,892.51 = 2,086/x
  3. Step 3: Cross multiply
    7,928.94x = 11,892.51 × 2,086
  4. Step 4: Simplify right side
    7,928.94x = 24,807,775.86
  5. Step 5: Solve for x
    x = 24,807,775.86/7,928.94
  6. Step 6: Final answer
    x = 3,128.76

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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.