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Finding the Fourth Proportional to 11,779.94, 16,239.21 and 8,232.14

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Solution

The fourth proportional to 11,779.94, 16,239.21 and 8,232.14 is: 11,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.94 : 16,239.21 = 8,232.14 : x
  2. Step 2: Convert to fraction form
    11,779.94/16,239.21 = 8,232.14/x
  3. Step 3: Cross multiply
    11,779.94x = 16,239.21 × 8,232.14
  4. Step 4: Simplify right side
    11,779.94x = 133,683,450.21
  5. Step 5: Solve for x
    x = 133,683,450.21/11,779.94
  6. Step 6: Final answer
    x = 11,348.40

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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.