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Finding the Fourth Proportional to 10,783.72, 16,170.18 and 3,388.08

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Solution

The fourth proportional to 10,783.72, 16,170.18 and 3,388.08 is: 5,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.72 : 16,170.18 = 3,388.08 : x
  2. Step 2: Convert to fraction form
    10,783.72/16,170.18 = 3,388.08/x
  3. Step 3: Cross multiply
    10,783.72x = 16,170.18 × 3,388.08
  4. Step 4: Simplify right side
    10,783.72x = 54,785,863.45
  5. Step 5: Solve for x
    x = 54,785,863.45/10,783.72
  6. Step 6: Final answer
    x = 5,080.42

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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.