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Finding the Fourth Proportional to 8,573.20, 12,838.20 and 5,635.60

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Solution

The fourth proportional to 8,573.20, 12,838.20 and 5,635.60 is: 8,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.20 : 12,838.20 = 5,635.60 : x
  2. Step 2: Convert to fraction form
    8,573.20/12,838.20 = 5,635.60/x
  3. Step 3: Cross multiply
    8,573.20x = 12,838.20 × 5,635.60
  4. Step 4: Simplify right side
    8,573.20x = 72,350,959.92
  5. Step 5: Solve for x
    x = 72,350,959.92/8,573.20
  6. Step 6: Final answer
    x = 8,439.20

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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.