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Finding the Fourth Proportional to 7,401.96, 10,217.94 and 5,167.08

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Solution

The fourth proportional to 7,401.96, 10,217.94 and 5,167.08 is: 7,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.96 : 10,217.94 = 5,167.08 : x
  2. Step 2: Convert to fraction form
    7,401.96/10,217.94 = 5,167.08/x
  3. Step 3: Cross multiply
    7,401.96x = 10,217.94 × 5,167.08
  4. Step 4: Simplify right side
    7,401.96x = 52,796,913.42
  5. Step 5: Solve for x
    x = 52,796,913.42/7,401.96
  6. Step 6: Final answer
    x = 7,132.83

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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.