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Finding the Fourth Proportional to 7,722.32, 11,594.39 and 7,369.97

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Solution

The fourth proportional to 7,722.32, 11,594.39 and 7,369.97 is: 11,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.32 : 11,594.39 = 7,369.97 : x
  2. Step 2: Convert to fraction form
    7,722.32/11,594.39 = 7,369.97/x
  3. Step 3: Cross multiply
    7,722.32x = 11,594.39 × 7,369.97
  4. Step 4: Simplify right side
    7,722.32x = 85,450,211.65
  5. Step 5: Solve for x
    x = 85,450,211.65/7,722.32
  6. Step 6: Final answer
    x = 11,065.36

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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.