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Finding the Fourth Proportional to 7,588.80, 11,381.90 and 3,427.85

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Solution

The fourth proportional to 7,588.80, 11,381.90 and 3,427.85 is: 5,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.80 : 11,381.90 = 3,427.85 : x
  2. Step 2: Convert to fraction form
    7,588.80/11,381.90 = 3,427.85/x
  3. Step 3: Cross multiply
    7,588.80x = 11,381.90 × 3,427.85
  4. Step 4: Simplify right side
    7,588.80x = 39,015,371.87
  5. Step 5: Solve for x
    x = 39,015,371.87/7,588.80
  6. Step 6: Final answer
    x = 5,141.18

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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.