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Finding the Fourth Proportional to 7,763.98, 11,626.22 and 5,123.48

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Solution

The fourth proportional to 7,763.98, 11,626.22 and 5,123.48 is: 7,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.98 : 11,626.22 = 5,123.48 : x
  2. Step 2: Convert to fraction form
    7,763.98/11,626.22 = 5,123.48/x
  3. Step 3: Cross multiply
    7,763.98x = 11,626.22 × 5,123.48
  4. Step 4: Simplify right side
    7,763.98x = 59,566,705.65
  5. Step 5: Solve for x
    x = 59,566,705.65/7,763.98
  6. Step 6: Final answer
    x = 7,672.19

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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.