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Finding the Fourth Proportional to 7,701.35, 11,549.99 and 2,770.07

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Solution

The fourth proportional to 7,701.35, 11,549.99 and 2,770.07 is: 4,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.35 : 11,549.99 = 2,770.07 : x
  2. Step 2: Convert to fraction form
    7,701.35/11,549.99 = 2,770.07/x
  3. Step 3: Cross multiply
    7,701.35x = 11,549.99 × 2,770.07
  4. Step 4: Simplify right side
    7,701.35x = 31,994,229.97
  5. Step 5: Solve for x
    x = 31,994,229.97/7,701.35
  6. Step 6: Final answer
    x = 4,154.37

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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.