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Finding the Fourth Proportional to 7,856.25, 11,739 and 5,944.04

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Solution

The fourth proportional to 7,856.25, 11,739 and 5,944.04 is: 8,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.25 : 11,739 = 5,944.04 : x
  2. Step 2: Convert to fraction form
    7,856.25/11,739 = 5,944.04/x
  3. Step 3: Cross multiply
    7,856.25x = 11,739 × 5,944.04
  4. Step 4: Simplify right side
    7,856.25x = 69,777,085.56
  5. Step 5: Solve for x
    x = 69,777,085.56/7,856.25
  6. Step 6: Final answer
    x = 8,881.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.