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Finding the Fourth Proportional to 10,093.70, 15,136.23 and 3,168.74

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Solution

The fourth proportional to 10,093.70, 15,136.23 and 3,168.74 is: 4,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.70 : 15,136.23 = 3,168.74 : x
  2. Step 2: Convert to fraction form
    10,093.70/15,136.23 = 3,168.74/x
  3. Step 3: Cross multiply
    10,093.70x = 15,136.23 × 3,168.74
  4. Step 4: Simplify right side
    10,093.70x = 47,962,777.45
  5. Step 5: Solve for x
    x = 47,962,777.45/10,093.70
  6. Step 6: Final answer
    x = 4,751.75

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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.