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Finding the Fourth Proportional to 6,764.01, 10,149.05 and 4,298.19

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Solution

The fourth proportional to 6,764.01, 10,149.05 and 4,298.19 is: 6,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.01 : 10,149.05 = 4,298.19 : x
  2. Step 2: Convert to fraction form
    6,764.01/10,149.05 = 4,298.19/x
  3. Step 3: Cross multiply
    6,764.01x = 10,149.05 × 4,298.19
  4. Step 4: Simplify right side
    6,764.01x = 43,622,545.22
  5. Step 5: Solve for x
    x = 43,622,545.22/6,764.01
  6. Step 6: Final answer
    x = 6,449.21

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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.