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Finding the Fourth Proportional to 10,128.60, 15,171.89 and 8,563.14

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Solution

The fourth proportional to 10,128.60, 15,171.89 and 8,563.14 is: 12,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.60 : 15,171.89 = 8,563.14 : x
  2. Step 2: Convert to fraction form
    10,128.60/15,171.89 = 8,563.14/x
  3. Step 3: Cross multiply
    10,128.60x = 15,171.89 × 8,563.14
  4. Step 4: Simplify right side
    10,128.60x = 129,918,975.32
  5. Step 5: Solve for x
    x = 129,918,975.32/10,128.60
  6. Step 6: Final answer
    x = 12,826.94

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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.