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Finding the Fourth Proportional to 7,838.24, 11,771.12 and 6,085.22

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Solution

The fourth proportional to 7,838.24, 11,771.12 and 6,085.22 is: 9,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.24 : 11,771.12 = 6,085.22 : x
  2. Step 2: Convert to fraction form
    7,838.24/11,771.12 = 6,085.22/x
  3. Step 3: Cross multiply
    7,838.24x = 11,771.12 × 6,085.22
  4. Step 4: Simplify right side
    7,838.24x = 71,629,853.85
  5. Step 5: Solve for x
    x = 71,629,853.85/7,838.24
  6. Step 6: Final answer
    x = 9,138.51

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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.