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Finding the Fourth Proportional to 7,698.42, 11,549.07 and 3,081.78

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Solution

The fourth proportional to 7,698.42, 11,549.07 and 3,081.78 is: 4,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.42 : 11,549.07 = 3,081.78 : x
  2. Step 2: Convert to fraction form
    7,698.42/11,549.07 = 3,081.78/x
  3. Step 3: Cross multiply
    7,698.42x = 11,549.07 × 3,081.78
  4. Step 4: Simplify right side
    7,698.42x = 35,591,692.94
  5. Step 5: Solve for x
    x = 35,591,692.94/7,698.42
  6. Step 6: Final answer
    x = 4,623.25

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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.