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Finding the Fourth Proportional to 11,805.89, 16,292.00 and 6,702.38

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Solution

The fourth proportional to 11,805.89, 16,292.00 and 6,702.38 is: 9,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.89 : 16,292.00 = 6,702.38 : x
  2. Step 2: Convert to fraction form
    11,805.89/16,292.00 = 6,702.38/x
  3. Step 3: Cross multiply
    11,805.89x = 16,292.00 × 6,702.38
  4. Step 4: Simplify right side
    11,805.89x = 109,195,232.45
  5. Step 5: Solve for x
    x = 109,195,232.45/11,805.89
  6. Step 6: Final answer
    x = 9,249.21

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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.