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Finding the Fourth Proportional to 7,722.39, 11,585.19 and 3,105.39

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Solution

The fourth proportional to 7,722.39, 11,585.19 and 3,105.39 is: 4,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.39 : 11,585.19 = 3,105.39 : x
  2. Step 2: Convert to fraction form
    7,722.39/11,585.19 = 3,105.39/x
  3. Step 3: Cross multiply
    7,722.39x = 11,585.19 × 3,105.39
  4. Step 4: Simplify right side
    7,722.39x = 35,976,533.17
  5. Step 5: Solve for x
    x = 35,976,533.17/7,722.39
  6. Step 6: Final answer
    x = 4,658.73

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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.