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Finding the Fourth Proportional to 6,680.43, 10,028.84 and 6,416.16

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Solution

The fourth proportional to 6,680.43, 10,028.84 and 6,416.16 is: 9,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.43 : 10,028.84 = 6,416.16 : x
  2. Step 2: Convert to fraction form
    6,680.43/10,028.84 = 6,416.16/x
  3. Step 3: Cross multiply
    6,680.43x = 10,028.84 × 6,416.16
  4. Step 4: Simplify right side
    6,680.43x = 64,346,609.97
  5. Step 5: Solve for x
    x = 64,346,609.97/6,680.43
  6. Step 6: Final answer
    x = 9,632.11

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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.