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Finding the Fourth Proportional to 7,757.63, 10,706.62 and 4,401.27

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Solution

The fourth proportional to 7,757.63, 10,706.62 and 4,401.27 is: 6,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.63 : 10,706.62 = 4,401.27 : x
  2. Step 2: Convert to fraction form
    7,757.63/10,706.62 = 4,401.27/x
  3. Step 3: Cross multiply
    7,757.63x = 10,706.62 × 4,401.27
  4. Step 4: Simplify right side
    7,757.63x = 47,122,725.41
  5. Step 5: Solve for x
    x = 47,122,725.41/7,757.63
  6. Step 6: Final answer
    x = 6,074.37

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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.