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Finding the Fourth Proportional to 6,711.96, 10,066.38 and 2,552.46

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Solution

The fourth proportional to 6,711.96, 10,066.38 and 2,552.46 is: 3,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.96 : 10,066.38 = 2,552.46 : x
  2. Step 2: Convert to fraction form
    6,711.96/10,066.38 = 2,552.46/x
  3. Step 3: Cross multiply
    6,711.96x = 10,066.38 × 2,552.46
  4. Step 4: Simplify right side
    6,711.96x = 25,694,032.29
  5. Step 5: Solve for x
    x = 25,694,032.29/6,711.96
  6. Step 6: Final answer
    x = 3,828.10

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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.