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Finding the Fourth Proportional to 10,416.43, 14,373.96 and 5,940.37

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Solution

The fourth proportional to 10,416.43, 14,373.96 and 5,940.37 is: 8,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.43 : 14,373.96 = 5,940.37 : x
  2. Step 2: Convert to fraction form
    10,416.43/14,373.96 = 5,940.37/x
  3. Step 3: Cross multiply
    10,416.43x = 14,373.96 × 5,940.37
  4. Step 4: Simplify right side
    10,416.43x = 85,386,640.77
  5. Step 5: Solve for x
    x = 85,386,640.77/10,416.43
  6. Step 6: Final answer
    x = 8,197.30

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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.