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Finding the Fourth Proportional to 10,410.26, 14,365.94 and 5,934.24

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Solution

The fourth proportional to 10,410.26, 14,365.94 and 5,934.24 is: 8,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.26 : 14,365.94 = 5,934.24 : x
  2. Step 2: Convert to fraction form
    10,410.26/14,365.94 = 5,934.24/x
  3. Step 3: Cross multiply
    10,410.26x = 14,365.94 × 5,934.24
  4. Step 4: Simplify right side
    10,410.26x = 85,250,906.11
  5. Step 5: Solve for x
    x = 85,250,906.11/10,410.26
  6. Step 6: Final answer
    x = 8,189.13

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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.