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Finding the Fourth Proportional to 6,863.90, 10,295.85 and 3,583.40

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Solution

The fourth proportional to 6,863.90, 10,295.85 and 3,583.40 is: 5,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.90 : 10,295.85 = 3,583.40 : x
  2. Step 2: Convert to fraction form
    6,863.90/10,295.85 = 3,583.40/x
  3. Step 3: Cross multiply
    6,863.90x = 10,295.85 × 3,583.40
  4. Step 4: Simplify right side
    6,863.90x = 36,894,097.41
  5. Step 5: Solve for x
    x = 36,894,097.41/6,863.90
  6. Step 6: Final answer
    x = 5,375.10

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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.