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Finding the Fourth Proportional to 10,709.73, 16,064.73 and 3,779.37

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Solution

The fourth proportional to 10,709.73, 16,064.73 and 3,779.37 is: 5,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.73 : 16,064.73 = 3,779.37 : x
  2. Step 2: Convert to fraction form
    10,709.73/16,064.73 = 3,779.37/x
  3. Step 3: Cross multiply
    10,709.73x = 16,064.73 × 3,779.37
  4. Step 4: Simplify right side
    10,709.73x = 60,714,558.62
  5. Step 5: Solve for x
    x = 60,714,558.62/10,709.73
  6. Step 6: Final answer
    x = 5,669.10

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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.