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Finding the Fourth Proportional to 6,724.26, 10,021.24 and 6,374.34

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Solution

The fourth proportional to 6,724.26, 10,021.24 and 6,374.34 is: 9,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.26 : 10,021.24 = 6,374.34 : x
  2. Step 2: Convert to fraction form
    6,724.26/10,021.24 = 6,374.34/x
  3. Step 3: Cross multiply
    6,724.26x = 10,021.24 × 6,374.34
  4. Step 4: Simplify right side
    6,724.26x = 63,878,790.98
  5. Step 5: Solve for x
    x = 63,878,790.98/6,724.26
  6. Step 6: Final answer
    x = 9,499.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.