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Finding the Fourth Proportional to 6,782.79, 10,174.57 and 2,103.46

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Solution

The fourth proportional to 6,782.79, 10,174.57 and 2,103.46 is: 3,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.79 : 10,174.57 = 2,103.46 : x
  2. Step 2: Convert to fraction form
    6,782.79/10,174.57 = 2,103.46/x
  3. Step 3: Cross multiply
    6,782.79x = 10,174.57 × 2,103.46
  4. Step 4: Simplify right side
    6,782.79x = 21,401,841.03
  5. Step 5: Solve for x
    x = 21,401,841.03/6,782.79
  6. Step 6: Final answer
    x = 3,155.32

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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.