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Finding the Fourth Proportional to 7,168.29, 9,898.77 and 5,396.82

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Solution

The fourth proportional to 7,168.29, 9,898.77 and 5,396.82 is: 7,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.29 : 9,898.77 = 5,396.82 : x
  2. Step 2: Convert to fraction form
    7,168.29/9,898.77 = 5,396.82/x
  3. Step 3: Cross multiply
    7,168.29x = 9,898.77 × 5,396.82
  4. Step 4: Simplify right side
    7,168.29x = 53,421,879.91
  5. Step 5: Solve for x
    x = 53,421,879.91/7,168.29
  6. Step 6: Final answer
    x = 7,452.53

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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.