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Finding the Fourth Proportional to 7,871.37, 11,777.89 and 5,792.91

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Solution

The fourth proportional to 7,871.37, 11,777.89 and 5,792.91 is: 8,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.37 : 11,777.89 = 5,792.91 : x
  2. Step 2: Convert to fraction form
    7,871.37/11,777.89 = 5,792.91/x
  3. Step 3: Cross multiply
    7,871.37x = 11,777.89 × 5,792.91
  4. Step 4: Simplify right side
    7,871.37x = 68,228,168.91
  5. Step 5: Solve for x
    x = 68,228,168.91/7,871.37
  6. Step 6: Final answer
    x = 8,667.90

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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.