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Finding the Fourth Proportional to 5,832.96, 8,782.32 and 5,143.92

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Solution

The fourth proportional to 5,832.96, 8,782.32 and 5,143.92 is: 7,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.96 : 8,782.32 = 5,143.92 : x
  2. Step 2: Convert to fraction form
    5,832.96/8,782.32 = 5,143.92/x
  3. Step 3: Cross multiply
    5,832.96x = 8,782.32 × 5,143.92
  4. Step 4: Simplify right side
    5,832.96x = 45,175,551.49
  5. Step 5: Solve for x
    x = 45,175,551.49/5,832.96
  6. Step 6: Final answer
    x = 7,744.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.