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Finding the Fourth Proportional to 11,133.98, 16,702.89 and 3,739.15

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Solution

The fourth proportional to 11,133.98, 16,702.89 and 3,739.15 is: 5,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.98 : 16,702.89 = 3,739.15 : x
  2. Step 2: Convert to fraction form
    11,133.98/16,702.89 = 3,739.15/x
  3. Step 3: Cross multiply
    11,133.98x = 16,702.89 × 3,739.15
  4. Step 4: Simplify right side
    11,133.98x = 62,454,611.14
  5. Step 5: Solve for x
    x = 62,454,611.14/11,133.98
  6. Step 6: Final answer
    x = 5,609.37

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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.