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Finding the Fourth Proportional to 7,514.19, 10,369.40 and 4,157.19

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Solution

The fourth proportional to 7,514.19, 10,369.40 and 4,157.19 is: 5,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.19 : 10,369.40 = 4,157.19 : x
  2. Step 2: Convert to fraction form
    7,514.19/10,369.40 = 4,157.19/x
  3. Step 3: Cross multiply
    7,514.19x = 10,369.40 × 4,157.19
  4. Step 4: Simplify right side
    7,514.19x = 43,107,545.20
  5. Step 5: Solve for x
    x = 43,107,545.20/7,514.19
  6. Step 6: Final answer
    x = 5,736.82

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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.