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Finding the Fourth Proportional to 10,179.64, 15,271.93 and 5,169.70

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Solution

The fourth proportional to 10,179.64, 15,271.93 and 5,169.70 is: 7,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.64 : 15,271.93 = 5,169.70 : x
  2. Step 2: Convert to fraction form
    10,179.64/15,271.93 = 5,169.70/x
  3. Step 3: Cross multiply
    10,179.64x = 15,271.93 × 5,169.70
  4. Step 4: Simplify right side
    10,179.64x = 78,951,292.99
  5. Step 5: Solve for x
    x = 78,951,292.99/10,179.64
  6. Step 6: Final answer
    x = 7,755.81

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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.