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Finding the Fourth Proportional to 8,821.94, 13,232.93 and 3,891.60

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Solution

The fourth proportional to 8,821.94, 13,232.93 and 3,891.60 is: 5,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.94 : 13,232.93 = 3,891.60 : x
  2. Step 2: Convert to fraction form
    8,821.94/13,232.93 = 3,891.60/x
  3. Step 3: Cross multiply
    8,821.94x = 13,232.93 × 3,891.60
  4. Step 4: Simplify right side
    8,821.94x = 51,497,270.39
  5. Step 5: Solve for x
    x = 51,497,270.39/8,821.94
  6. Step 6: Final answer
    x = 5,837.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.