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Finding the Fourth Proportional to 10,168.08, 14,032.44 and 5,974.80

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Solution

The fourth proportional to 10,168.08, 14,032.44 and 5,974.80 is: 8,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.08 : 14,032.44 = 5,974.80 : x
  2. Step 2: Convert to fraction form
    10,168.08/14,032.44 = 5,974.80/x
  3. Step 3: Cross multiply
    10,168.08x = 14,032.44 × 5,974.80
  4. Step 4: Simplify right side
    10,168.08x = 83,841,022.51
  5. Step 5: Solve for x
    x = 83,841,022.51/10,168.08
  6. Step 6: Final answer
    x = 8,245.51

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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.