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Finding the Fourth Proportional to 6,863.40, 10,291.23 and 2,182.55

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Solution

The fourth proportional to 6,863.40, 10,291.23 and 2,182.55 is: 3,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.40 : 10,291.23 = 2,182.55 : x
  2. Step 2: Convert to fraction form
    6,863.40/10,291.23 = 2,182.55/x
  3. Step 3: Cross multiply
    6,863.40x = 10,291.23 × 2,182.55
  4. Step 4: Simplify right side
    6,863.40x = 22,461,072.58
  5. Step 5: Solve for x
    x = 22,461,072.58/6,863.40
  6. Step 6: Final answer
    x = 3,272.59

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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.