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Finding the Fourth Proportional to 7,586.01, 11,380.23 and 2,249.73

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Solution

The fourth proportional to 7,586.01, 11,380.23 and 2,249.73 is: 3,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.01 : 11,380.23 = 2,249.73 : x
  2. Step 2: Convert to fraction form
    7,586.01/11,380.23 = 2,249.73/x
  3. Step 3: Cross multiply
    7,586.01x = 11,380.23 × 2,249.73
  4. Step 4: Simplify right side
    7,586.01x = 25,602,444.84
  5. Step 5: Solve for x
    x = 25,602,444.84/7,586.01
  6. Step 6: Final answer
    x = 3,374.96

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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.