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Finding the Fourth Proportional to 7,586.37, 11,381.07 and 2,906.19

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Solution

The fourth proportional to 7,586.37, 11,381.07 and 2,906.19 is: 4,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.37 : 11,381.07 = 2,906.19 : x
  2. Step 2: Convert to fraction form
    7,586.37/11,381.07 = 2,906.19/x
  3. Step 3: Cross multiply
    7,586.37x = 11,381.07 × 2,906.19
  4. Step 4: Simplify right side
    7,586.37x = 33,075,562.72
  5. Step 5: Solve for x
    x = 33,075,562.72/7,586.37
  6. Step 6: Final answer
    x = 4,359.87

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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.