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Finding the Fourth Proportional to 7,772.34, 10,734.74 and 5,131.54

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Solution

The fourth proportional to 7,772.34, 10,734.74 and 5,131.54 is: 7,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.34 : 10,734.74 = 5,131.54 : x
  2. Step 2: Convert to fraction form
    7,772.34/10,734.74 = 5,131.54/x
  3. Step 3: Cross multiply
    7,772.34x = 10,734.74 × 5,131.54
  4. Step 4: Simplify right side
    7,772.34x = 55,085,747.70
  5. Step 5: Solve for x
    x = 55,085,747.70/7,772.34
  6. Step 6: Final answer
    x = 7,087.41

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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.