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Finding the Fourth Proportional to 8,533.14, 12,801.60 and 2,689.80

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Solution

The fourth proportional to 8,533.14, 12,801.60 and 2,689.80 is: 4,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.14 : 12,801.60 = 2,689.80 : x
  2. Step 2: Convert to fraction form
    8,533.14/12,801.60 = 2,689.80/x
  3. Step 3: Cross multiply
    8,533.14x = 12,801.60 × 2,689.80
  4. Step 4: Simplify right side
    8,533.14x = 34,433,743.68
  5. Step 5: Solve for x
    x = 34,433,743.68/8,533.14
  6. Step 6: Final answer
    x = 4,035.30

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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.