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Finding the Fourth Proportional to 8,563.80, 12,838.92 and 5,620.57

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Solution

The fourth proportional to 8,563.80, 12,838.92 and 5,620.57 is: 8,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.80 : 12,838.92 = 5,620.57 : x
  2. Step 2: Convert to fraction form
    8,563.80/12,838.92 = 5,620.57/x
  3. Step 3: Cross multiply
    8,563.80x = 12,838.92 × 5,620.57
  4. Step 4: Simplify right side
    8,563.80x = 72,162,048.58
  5. Step 5: Solve for x
    x = 72,162,048.58/8,563.80
  6. Step 6: Final answer
    x = 8,426.41

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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.