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Finding the Fourth Proportional to 6,821.70, 10,224.69 and 3,124.32

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Solution

The fourth proportional to 6,821.70, 10,224.69 and 3,124.32 is: 4,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.70 : 10,224.69 = 3,124.32 : x
  2. Step 2: Convert to fraction form
    6,821.70/10,224.69 = 3,124.32/x
  3. Step 3: Cross multiply
    6,821.70x = 10,224.69 × 3,124.32
  4. Step 4: Simplify right side
    6,821.70x = 31,945,203.46
  5. Step 5: Solve for x
    x = 31,945,203.46/6,821.70
  6. Step 6: Final answer
    x = 4,682.88

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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.