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Finding the Fourth Proportional to 11,779.37, 16,255.34 and 6,474.07

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Solution

The fourth proportional to 11,779.37, 16,255.34 and 6,474.07 is: 8,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.37 : 16,255.34 = 6,474.07 : x
  2. Step 2: Convert to fraction form
    11,779.37/16,255.34 = 6,474.07/x
  3. Step 3: Cross multiply
    11,779.37x = 16,255.34 × 6,474.07
  4. Step 4: Simplify right side
    11,779.37x = 105,238,136.03
  5. Step 5: Solve for x
    x = 105,238,136.03/11,779.37
  6. Step 6: Final answer
    x = 8,934.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.