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Finding the Fourth Proportional to 10,611, 15,916.50 and 5,994.36

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Solution

The fourth proportional to 10,611, 15,916.50 and 5,994.36 is: 8,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611 : 15,916.50 = 5,994.36 : x
  2. Step 2: Convert to fraction form
    10,611/15,916.50 = 5,994.36/x
  3. Step 3: Cross multiply
    10,611x = 15,916.50 × 5,994.36
  4. Step 4: Simplify right side
    10,611x = 95,409,230.94
  5. Step 5: Solve for x
    x = 95,409,230.94/10,611
  6. Step 6: Final answer
    x = 8,991.54

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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.