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Finding the Fourth Proportional to 7,514.37, 10,369.04 and 4,157.10

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Solution

The fourth proportional to 7,514.37, 10,369.04 and 4,157.10 is: 5,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.37 : 10,369.04 = 4,157.10 : x
  2. Step 2: Convert to fraction form
    7,514.37/10,369.04 = 4,157.10/x
  3. Step 3: Cross multiply
    7,514.37x = 10,369.04 × 4,157.10
  4. Step 4: Simplify right side
    7,514.37x = 43,105,115.40
  5. Step 5: Solve for x
    x = 43,105,115.40/7,514.37
  6. Step 6: Final answer
    x = 5,736.36

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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.