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Finding the Fourth Proportional to 7,705.44, 11,560.59 and 3,027.42

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Solution

The fourth proportional to 7,705.44, 11,560.59 and 3,027.42 is: 4,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.44 : 11,560.59 = 3,027.42 : x
  2. Step 2: Convert to fraction form
    7,705.44/11,560.59 = 3,027.42/x
  3. Step 3: Cross multiply
    7,705.44x = 11,560.59 × 3,027.42
  4. Step 4: Simplify right side
    7,705.44x = 34,998,761.38
  5. Step 5: Solve for x
    x = 34,998,761.38/7,705.44
  6. Step 6: Final answer
    x = 4,542.08

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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.