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Finding the Fourth Proportional to 10,029.61, 13,844.49 and 5,837.86

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Solution

The fourth proportional to 10,029.61, 13,844.49 and 5,837.86 is: 8,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.61 : 13,844.49 = 5,837.86 : x
  2. Step 2: Convert to fraction form
    10,029.61/13,844.49 = 5,837.86/x
  3. Step 3: Cross multiply
    10,029.61x = 13,844.49 × 5,837.86
  4. Step 4: Simplify right side
    10,029.61x = 80,822,194.39
  5. Step 5: Solve for x
    x = 80,822,194.39/10,029.61
  6. Step 6: Final answer
    x = 8,058.36

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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.