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Finding the Fourth Proportional to 10,797.85, 16,201.48 and 3,782.91

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Solution

The fourth proportional to 10,797.85, 16,201.48 and 3,782.91 is: 5,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.85 : 16,201.48 = 3,782.91 : x
  2. Step 2: Convert to fraction form
    10,797.85/16,201.48 = 3,782.91/x
  3. Step 3: Cross multiply
    10,797.85x = 16,201.48 × 3,782.91
  4. Step 4: Simplify right side
    10,797.85x = 61,288,740.71
  5. Step 5: Solve for x
    x = 61,288,740.71/10,797.85
  6. Step 6: Final answer
    x = 5,676.01

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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.