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Finding the Fourth Proportional to 7,821.42, 10,794.08 and 5,134.26

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Solution

The fourth proportional to 7,821.42, 10,794.08 and 5,134.26 is: 7,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.42 : 10,794.08 = 5,134.26 : x
  2. Step 2: Convert to fraction form
    7,821.42/10,794.08 = 5,134.26/x
  3. Step 3: Cross multiply
    7,821.42x = 10,794.08 × 5,134.26
  4. Step 4: Simplify right side
    7,821.42x = 55,419,613.18
  5. Step 5: Solve for x
    x = 55,419,613.18/7,821.42
  6. Step 6: Final answer
    x = 7,085.62

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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.