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Finding the Fourth Proportional to 10,682.50, 16,023.76 and 3,757

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Solution

The fourth proportional to 10,682.50, 16,023.76 and 3,757 is: 5,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.50 : 16,023.76 = 3,757 : x
  2. Step 2: Convert to fraction form
    10,682.50/16,023.76 = 3,757/x
  3. Step 3: Cross multiply
    10,682.50x = 16,023.76 × 3,757
  4. Step 4: Simplify right side
    10,682.50x = 60,201,266.32
  5. Step 5: Solve for x
    x = 60,201,266.32/10,682.50
  6. Step 6: Final answer
    x = 5,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.