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Finding the Fourth Proportional to 10,798.68, 16,199.10 and 3,873

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Solution

The fourth proportional to 10,798.68, 16,199.10 and 3,873 is: 5,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.68 : 16,199.10 = 3,873 : x
  2. Step 2: Convert to fraction form
    10,798.68/16,199.10 = 3,873/x
  3. Step 3: Cross multiply
    10,798.68x = 16,199.10 × 3,873
  4. Step 4: Simplify right side
    10,798.68x = 62,739,114.30
  5. Step 5: Solve for x
    x = 62,739,114.30/10,798.68
  6. Step 6: Final answer
    x = 5,809.89

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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.