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Finding the Fourth Proportional to 7,640.35, 11,454.51 and 5,144.29

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Solution

The fourth proportional to 7,640.35, 11,454.51 and 5,144.29 is: 7,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.35 : 11,454.51 = 5,144.29 : x
  2. Step 2: Convert to fraction form
    7,640.35/11,454.51 = 5,144.29/x
  3. Step 3: Cross multiply
    7,640.35x = 11,454.51 × 5,144.29
  4. Step 4: Simplify right side
    7,640.35x = 58,925,321.25
  5. Step 5: Solve for x
    x = 58,925,321.25/7,640.35
  6. Step 6: Final answer
    x = 7,712.39

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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.