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Finding the Fourth Proportional to 6,782.72, 10,174.22 and 4,457.55

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Solution

The fourth proportional to 6,782.72, 10,174.22 and 4,457.55 is: 6,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.72 : 10,174.22 = 4,457.55 : x
  2. Step 2: Convert to fraction form
    6,782.72/10,174.22 = 4,457.55/x
  3. Step 3: Cross multiply
    6,782.72x = 10,174.22 × 4,457.55
  4. Step 4: Simplify right side
    6,782.72x = 45,352,046.64
  5. Step 5: Solve for x
    x = 45,352,046.64/6,782.72
  6. Step 6: Final answer
    x = 6,686.41

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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.