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Finding the Fourth Proportional to 7,400.41, 10,213.64 and 4,416.37

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Solution

The fourth proportional to 7,400.41, 10,213.64 and 4,416.37 is: 6,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.41 : 10,213.64 = 4,416.37 : x
  2. Step 2: Convert to fraction form
    7,400.41/10,213.64 = 4,416.37/x
  3. Step 3: Cross multiply
    7,400.41x = 10,213.64 × 4,416.37
  4. Step 4: Simplify right side
    7,400.41x = 45,107,191.20
  5. Step 5: Solve for x
    x = 45,107,191.20/7,400.41
  6. Step 6: Final answer
    x = 6,095.23

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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.