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Finding the Fourth Proportional to 10,520.66, 15,779.13 and 3,499.97

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Solution

The fourth proportional to 10,520.66, 15,779.13 and 3,499.97 is: 5,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.66 : 15,779.13 = 3,499.97 : x
  2. Step 2: Convert to fraction form
    10,520.66/15,779.13 = 3,499.97/x
  3. Step 3: Cross multiply
    10,520.66x = 15,779.13 × 3,499.97
  4. Step 4: Simplify right side
    10,520.66x = 55,226,481.63
  5. Step 5: Solve for x
    x = 55,226,481.63/10,520.66
  6. Step 6: Final answer
    x = 5,249.34

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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.