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Finding the Fourth Proportional to 10,627.80, 15,940.48 and 2,836

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Solution

The fourth proportional to 10,627.80, 15,940.48 and 2,836 is: 4,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.80 : 15,940.48 = 2,836 : x
  2. Step 2: Convert to fraction form
    10,627.80/15,940.48 = 2,836/x
  3. Step 3: Cross multiply
    10,627.80x = 15,940.48 × 2,836
  4. Step 4: Simplify right side
    10,627.80x = 45,207,201.28
  5. Step 5: Solve for x
    x = 45,207,201.28/10,627.80
  6. Step 6: Final answer
    x = 4,253.67

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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.