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Finding the Fourth Proportional to 7,856.96, 11,789.28 and 3,752

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Solution

The fourth proportional to 7,856.96, 11,789.28 and 3,752 is: 5,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.96 : 11,789.28 = 3,752 : x
  2. Step 2: Convert to fraction form
    7,856.96/11,789.28 = 3,752/x
  3. Step 3: Cross multiply
    7,856.96x = 11,789.28 × 3,752
  4. Step 4: Simplify right side
    7,856.96x = 44,233,378.56
  5. Step 5: Solve for x
    x = 44,233,378.56/7,856.96
  6. Step 6: Final answer
    x = 5,629.83

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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.