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Finding the Fourth Proportional to 7,399.64, 10,194.13 and 5,157.44

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Solution

The fourth proportional to 7,399.64, 10,194.13 and 5,157.44 is: 7,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.64 : 10,194.13 = 5,157.44 : x
  2. Step 2: Convert to fraction form
    7,399.64/10,194.13 = 5,157.44/x
  3. Step 3: Cross multiply
    7,399.64x = 10,194.13 × 5,157.44
  4. Step 4: Simplify right side
    7,399.64x = 52,575,613.83
  5. Step 5: Solve for x
    x = 52,575,613.83/7,399.64
  6. Step 6: Final answer
    x = 7,105.16

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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.