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Finding the Fourth Proportional to 10,565.28, 15,843.84 and 3,168

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Solution

The fourth proportional to 10,565.28, 15,843.84 and 3,168 is: 4,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.28 : 15,843.84 = 3,168 : x
  2. Step 2: Convert to fraction form
    10,565.28/15,843.84 = 3,168/x
  3. Step 3: Cross multiply
    10,565.28x = 15,843.84 × 3,168
  4. Step 4: Simplify right side
    10,565.28x = 50,193,285.12
  5. Step 5: Solve for x
    x = 50,193,285.12/10,565.28
  6. Step 6: Final answer
    x = 4,750.78

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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.