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Finding the Fourth Proportional to 6,773.34, 10,164.81 and 4,309.98

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Solution

The fourth proportional to 6,773.34, 10,164.81 and 4,309.98 is: 6,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.34 : 10,164.81 = 4,309.98 : x
  2. Step 2: Convert to fraction form
    6,773.34/10,164.81 = 4,309.98/x
  3. Step 3: Cross multiply
    6,773.34x = 10,164.81 × 4,309.98
  4. Step 4: Simplify right side
    6,773.34x = 43,810,127.80
  5. Step 5: Solve for x
    x = 43,810,127.80/6,773.34
  6. Step 6: Final answer
    x = 6,468.02

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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.