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Finding the Fourth Proportional to 10,144.75, 15,143.68 and 8,766.94

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Solution

The fourth proportional to 10,144.75, 15,143.68 and 8,766.94 is: 13,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.75 : 15,143.68 = 8,766.94 : x
  2. Step 2: Convert to fraction form
    10,144.75/15,143.68 = 8,766.94/x
  3. Step 3: Cross multiply
    10,144.75x = 15,143.68 × 8,766.94
  4. Step 4: Simplify right side
    10,144.75x = 132,763,733.94
  5. Step 5: Solve for x
    x = 132,763,733.94/10,144.75
  6. Step 6: Final answer
    x = 13,086.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.