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Finding the Fourth Proportional to 10,571.94, 15,853.32 and 5,640.48

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Solution

The fourth proportional to 10,571.94, 15,853.32 and 5,640.48 is: 8,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.94 : 15,853.32 = 5,640.48 : x
  2. Step 2: Convert to fraction form
    10,571.94/15,853.32 = 5,640.48/x
  3. Step 3: Cross multiply
    10,571.94x = 15,853.32 × 5,640.48
  4. Step 4: Simplify right side
    10,571.94x = 89,420,334.39
  5. Step 5: Solve for x
    x = 89,420,334.39/10,571.94
  6. Step 6: Final answer
    x = 8,458.27

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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.