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Finding the Fourth Proportional to 8,590.20, 12,863.70 and 6,862.20

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Solution

The fourth proportional to 8,590.20, 12,863.70 and 6,862.20 is: 10,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.20 : 12,863.70 = 6,862.20 : x
  2. Step 2: Convert to fraction form
    8,590.20/12,863.70 = 6,862.20/x
  3. Step 3: Cross multiply
    8,590.20x = 12,863.70 × 6,862.20
  4. Step 4: Simplify right side
    8,590.20x = 88,273,282.14
  5. Step 5: Solve for x
    x = 88,273,282.14/8,590.20
  6. Step 6: Final answer
    x = 10,276.05

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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.