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Finding the Fourth Proportional to 10,029.14, 13,841.42 and 5,837.39

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Solution

The fourth proportional to 10,029.14, 13,841.42 and 5,837.39 is: 8,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.14 : 13,841.42 = 5,837.39 : x
  2. Step 2: Convert to fraction form
    10,029.14/13,841.42 = 5,837.39/x
  3. Step 3: Cross multiply
    10,029.14x = 13,841.42 × 5,837.39
  4. Step 4: Simplify right side
    10,029.14x = 80,797,737.51
  5. Step 5: Solve for x
    x = 80,797,737.51/10,029.14
  6. Step 6: Final answer
    x = 8,056.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.