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Finding the Fourth Proportional to 8,563.20, 12,844.76 and 2,719.76

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Solution

The fourth proportional to 8,563.20, 12,844.76 and 2,719.76 is: 4,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.20 : 12,844.76 = 2,719.76 : x
  2. Step 2: Convert to fraction form
    8,563.20/12,844.76 = 2,719.76/x
  3. Step 3: Cross multiply
    8,563.20x = 12,844.76 × 2,719.76
  4. Step 4: Simplify right side
    8,563.20x = 34,934,664.46
  5. Step 5: Solve for x
    x = 34,934,664.46/8,563.20
  6. Step 6: Final answer
    x = 4,079.63

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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.