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Finding the Fourth Proportional to 6,863.55, 10,286.06 and 5,005.95

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Solution

The fourth proportional to 6,863.55, 10,286.06 and 5,005.95 is: 7,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.55 : 10,286.06 = 5,005.95 : x
  2. Step 2: Convert to fraction form
    6,863.55/10,286.06 = 5,005.95/x
  3. Step 3: Cross multiply
    6,863.55x = 10,286.06 × 5,005.95
  4. Step 4: Simplify right side
    6,863.55x = 51,491,477.03
  5. Step 5: Solve for x
    x = 51,491,477.03/6,863.55
  6. Step 6: Final answer
    x = 7,502.16

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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.