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Finding the Fourth Proportional to 10,068.29, 13,893.23 and 5,878.97

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Solution

The fourth proportional to 10,068.29, 13,893.23 and 5,878.97 is: 8,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.29 : 13,893.23 = 5,878.97 : x
  2. Step 2: Convert to fraction form
    10,068.29/13,893.23 = 5,878.97/x
  3. Step 3: Cross multiply
    10,068.29x = 13,893.23 × 5,878.97
  4. Step 4: Simplify right side
    10,068.29x = 81,677,852.98
  5. Step 5: Solve for x
    x = 81,677,852.98/10,068.29
  6. Step 6: Final answer
    x = 8,112.39

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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.