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Finding the Fourth Proportional to 7,205.72, 10,794.18 and 5,727.42

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Solution

The fourth proportional to 7,205.72, 10,794.18 and 5,727.42 is: 8,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.72 : 10,794.18 = 5,727.42 : x
  2. Step 2: Convert to fraction form
    7,205.72/10,794.18 = 5,727.42/x
  3. Step 3: Cross multiply
    7,205.72x = 10,794.18 × 5,727.42
  4. Step 4: Simplify right side
    7,205.72x = 61,822,802.42
  5. Step 5: Solve for x
    x = 61,822,802.42/7,205.72
  6. Step 6: Final answer
    x = 8,579.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.