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Finding the Fourth Proportional to 8,573.52, 12,863.70 and 4,189.80

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Solution

The fourth proportional to 8,573.52, 12,863.70 and 4,189.80 is: 6,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.52 : 12,863.70 = 4,189.80 : x
  2. Step 2: Convert to fraction form
    8,573.52/12,863.70 = 4,189.80/x
  3. Step 3: Cross multiply
    8,573.52x = 12,863.70 × 4,189.80
  4. Step 4: Simplify right side
    8,573.52x = 53,896,330.26
  5. Step 5: Solve for x
    x = 53,896,330.26/8,573.52
  6. Step 6: Final answer
    x = 6,286.37

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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.