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Finding the Fourth Proportional to 12,863.73, 19,283.28 and 4,092.94

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Solution

The fourth proportional to 12,863.73, 19,283.28 and 4,092.94 is: 6,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.73 : 19,283.28 = 4,092.94 : x
  2. Step 2: Convert to fraction form
    12,863.73/19,283.28 = 4,092.94/x
  3. Step 3: Cross multiply
    12,863.73x = 19,283.28 × 4,092.94
  4. Step 4: Simplify right side
    12,863.73x = 78,925,308.04
  5. Step 5: Solve for x
    x = 78,925,308.04/12,863.73
  6. Step 6: Final answer
    x = 6,135.49

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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.