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Finding the Fourth Proportional to 11,653.84, 16,082.38 and 6,348.80

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Solution

The fourth proportional to 11,653.84, 16,082.38 and 6,348.80 is: 8,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.84 : 16,082.38 = 6,348.80 : x
  2. Step 2: Convert to fraction form
    11,653.84/16,082.38 = 6,348.80/x
  3. Step 3: Cross multiply
    11,653.84x = 16,082.38 × 6,348.80
  4. Step 4: Simplify right side
    11,653.84x = 102,103,814.14
  5. Step 5: Solve for x
    x = 102,103,814.14/11,653.84
  6. Step 6: Final answer
    x = 8,761.39

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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.