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Finding the Fourth Proportional to 6,885.43, 10,314.17 and 3,182.51

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Solution

The fourth proportional to 6,885.43, 10,314.17 and 3,182.51 is: 4,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.43 : 10,314.17 = 3,182.51 : x
  2. Step 2: Convert to fraction form
    6,885.43/10,314.17 = 3,182.51/x
  3. Step 3: Cross multiply
    6,885.43x = 10,314.17 × 3,182.51
  4. Step 4: Simplify right side
    6,885.43x = 32,824,970.97
  5. Step 5: Solve for x
    x = 32,824,970.97/6,885.43
  6. Step 6: Final answer
    x = 4,767.31

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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.