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Finding the Fourth Proportional to 8,563.16, 12,843.40 and 2,719

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Solution

The fourth proportional to 8,563.16, 12,843.40 and 2,719 is: 4,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.16 : 12,843.40 = 2,719 : x
  2. Step 2: Convert to fraction form
    8,563.16/12,843.40 = 2,719/x
  3. Step 3: Cross multiply
    8,563.16x = 12,843.40 × 2,719
  4. Step 4: Simplify right side
    8,563.16x = 34,921,204.60
  5. Step 5: Solve for x
    x = 34,921,204.60/8,563.16
  6. Step 6: Final answer
    x = 4,078.07

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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.