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Finding the Fourth Proportional to 7,758.72, 11,626.56 and 3,856.32

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Solution

The fourth proportional to 7,758.72, 11,626.56 and 3,856.32 is: 5,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.72 : 11,626.56 = 3,856.32 : x
  2. Step 2: Convert to fraction form
    7,758.72/11,626.56 = 3,856.32/x
  3. Step 3: Cross multiply
    7,758.72x = 11,626.56 × 3,856.32
  4. Step 4: Simplify right side
    7,758.72x = 44,835,735.86
  5. Step 5: Solve for x
    x = 44,835,735.86/7,758.72
  6. Step 6: Final answer
    x = 5,778.75

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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.