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Finding the Fourth Proportional to 7,701.84, 11,552.76 and 2,771.37

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Solution

The fourth proportional to 7,701.84, 11,552.76 and 2,771.37 is: 4,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.84 : 11,552.76 = 2,771.37 : x
  2. Step 2: Convert to fraction form
    7,701.84/11,552.76 = 2,771.37/x
  3. Step 3: Cross multiply
    7,701.84x = 11,552.76 × 2,771.37
  4. Step 4: Simplify right side
    7,701.84x = 32,016,972.48
  5. Step 5: Solve for x
    x = 32,016,972.48/7,701.84
  6. Step 6: Final answer
    x = 4,157.06

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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.