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Finding the Fourth Proportional to 7,705.39, 11,551.17 and 2,771.58

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Solution

The fourth proportional to 7,705.39, 11,551.17 and 2,771.58 is: 4,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.39 : 11,551.17 = 2,771.58 : x
  2. Step 2: Convert to fraction form
    7,705.39/11,551.17 = 2,771.58/x
  3. Step 3: Cross multiply
    7,705.39x = 11,551.17 × 2,771.58
  4. Step 4: Simplify right side
    7,705.39x = 32,014,991.75
  5. Step 5: Solve for x
    x = 32,014,991.75/7,705.39
  6. Step 6: Final answer
    x = 4,154.88

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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.