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Finding the Fourth Proportional to 7,626.96, 11,435.48 and 5,022

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Solution

The fourth proportional to 7,626.96, 11,435.48 and 5,022 is: 7,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.96 : 11,435.48 = 5,022 : x
  2. Step 2: Convert to fraction form
    7,626.96/11,435.48 = 5,022/x
  3. Step 3: Cross multiply
    7,626.96x = 11,435.48 × 5,022
  4. Step 4: Simplify right side
    7,626.96x = 57,428,980.56
  5. Step 5: Solve for x
    x = 57,428,980.56/7,626.96
  6. Step 6: Final answer
    x = 7,529.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.