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Finding the Fourth Proportional to 10,396.23, 14,342.71 and 6,410.42

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Solution

The fourth proportional to 10,396.23, 14,342.71 and 6,410.42 is: 8,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.23 : 14,342.71 = 6,410.42 : x
  2. Step 2: Convert to fraction form
    10,396.23/14,342.71 = 6,410.42/x
  3. Step 3: Cross multiply
    10,396.23x = 14,342.71 × 6,410.42
  4. Step 4: Simplify right side
    10,396.23x = 91,942,795.04
  5. Step 5: Solve for x
    x = 91,942,795.04/10,396.23
  6. Step 6: Final answer
    x = 8,843.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.