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Finding the Fourth Proportional to 7,856.64, 11,759.32 and 5,776.12

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Solution

The fourth proportional to 7,856.64, 11,759.32 and 5,776.12 is: 8,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.64 : 11,759.32 = 5,776.12 : x
  2. Step 2: Convert to fraction form
    7,856.64/11,759.32 = 5,776.12/x
  3. Step 3: Cross multiply
    7,856.64x = 11,759.32 × 5,776.12
  4. Step 4: Simplify right side
    7,856.64x = 67,923,243.44
  5. Step 5: Solve for x
    x = 67,923,243.44/7,856.64
  6. Step 6: Final answer
    x = 8,645.33

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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.