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Finding the Fourth Proportional to 6,821.64, 10,182.69 and 5,991.28

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Solution

The fourth proportional to 6,821.64, 10,182.69 and 5,991.28 is: 8,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.64 : 10,182.69 = 5,991.28 : x
  2. Step 2: Convert to fraction form
    6,821.64/10,182.69 = 5,991.28/x
  3. Step 3: Cross multiply
    6,821.64x = 10,182.69 × 5,991.28
  4. Step 4: Simplify right side
    6,821.64x = 61,007,321.49
  5. Step 5: Solve for x
    x = 61,007,321.49/6,821.64
  6. Step 6: Final answer
    x = 8,943.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.