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Finding the Fourth Proportional to 7,706.10, 10,635.36 and 4,722.36

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Solution

The fourth proportional to 7,706.10, 10,635.36 and 4,722.36 is: 6,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.10 : 10,635.36 = 4,722.36 : x
  2. Step 2: Convert to fraction form
    7,706.10/10,635.36 = 4,722.36/x
  3. Step 3: Cross multiply
    7,706.10x = 10,635.36 × 4,722.36
  4. Step 4: Simplify right side
    7,706.10x = 50,223,998.65
  5. Step 5: Solve for x
    x = 50,223,998.65/7,706.10
  6. Step 6: Final answer
    x = 6,517.43

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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.