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Finding the Fourth Proportional to 6,783.72, 10,175.84 and 2,104.21

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Solution

The fourth proportional to 6,783.72, 10,175.84 and 2,104.21 is: 3,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.72 : 10,175.84 = 2,104.21 : x
  2. Step 2: Convert to fraction form
    6,783.72/10,175.84 = 2,104.21/x
  3. Step 3: Cross multiply
    6,783.72x = 10,175.84 × 2,104.21
  4. Step 4: Simplify right side
    6,783.72x = 21,412,104.29
  5. Step 5: Solve for x
    x = 21,412,104.29/6,783.72
  6. Step 6: Final answer
    x = 3,156.40

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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.