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Finding the Fourth Proportional to 6,819.84, 10,233 and 3,532.32

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Solution

The fourth proportional to 6,819.84, 10,233 and 3,532.32 is: 5,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.84 : 10,233 = 3,532.32 : x
  2. Step 2: Convert to fraction form
    6,819.84/10,233 = 3,532.32/x
  3. Step 3: Cross multiply
    6,819.84x = 10,233 × 3,532.32
  4. Step 4: Simplify right side
    6,819.84x = 36,146,230.56
  5. Step 5: Solve for x
    x = 36,146,230.56/6,819.84
  6. Step 6: Final answer
    x = 5,300.16

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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.