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Finding the Fourth Proportional to 7,771.14, 10,725.41 and 4,584.50

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Solution

The fourth proportional to 7,771.14, 10,725.41 and 4,584.50 is: 6,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.14 : 10,725.41 = 4,584.50 : x
  2. Step 2: Convert to fraction form
    7,771.14/10,725.41 = 4,584.50/x
  3. Step 3: Cross multiply
    7,771.14x = 10,725.41 × 4,584.50
  4. Step 4: Simplify right side
    7,771.14x = 49,170,640.20
  5. Step 5: Solve for x
    x = 49,170,640.20/7,771.14
  6. Step 6: Final answer
    x = 6,327.34

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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.