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Finding the Fourth Proportional to 10,571.16, 15,866.58 and 5,380.92

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Solution

The fourth proportional to 10,571.16, 15,866.58 and 5,380.92 is: 8,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.16 : 15,866.58 = 5,380.92 : x
  2. Step 2: Convert to fraction form
    10,571.16/15,866.58 = 5,380.92/x
  3. Step 3: Cross multiply
    10,571.16x = 15,866.58 × 5,380.92
  4. Step 4: Simplify right side
    10,571.16x = 85,376,797.65
  5. Step 5: Solve for x
    x = 85,376,797.65/10,571.16
  6. Step 6: Final answer
    x = 8,076.39

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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.