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Finding the Fourth Proportional to 7,705.80, 11,560.20 and 2,775.84

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Solution

The fourth proportional to 7,705.80, 11,560.20 and 2,775.84 is: 4,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.80 : 11,560.20 = 2,775.84 : x
  2. Step 2: Convert to fraction form
    7,705.80/11,560.20 = 2,775.84/x
  3. Step 3: Cross multiply
    7,705.80x = 11,560.20 × 2,775.84
  4. Step 4: Simplify right side
    7,705.80x = 32,089,265.57
  5. Step 5: Solve for x
    x = 32,089,265.57/7,705.80
  6. Step 6: Final answer
    x = 4,164.30

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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.