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Finding the Fourth Proportional to 10,416.42, 14,375.52 and 5,940.36

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Solution

The fourth proportional to 10,416.42, 14,375.52 and 5,940.36 is: 8,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.42 : 14,375.52 = 5,940.36 : x
  2. Step 2: Convert to fraction form
    10,416.42/14,375.52 = 5,940.36/x
  3. Step 3: Cross multiply
    10,416.42x = 14,375.52 × 5,940.36
  4. Step 4: Simplify right side
    10,416.42x = 85,395,763.99
  5. Step 5: Solve for x
    x = 85,395,763.99/10,416.42
  6. Step 6: Final answer
    x = 8,198.19

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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.