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Finding the Fourth Proportional to 10,039.86, 15,051.57 and 3,796.33

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Solution

The fourth proportional to 10,039.86, 15,051.57 and 3,796.33 is: 5,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.86 : 15,051.57 = 3,796.33 : x
  2. Step 2: Convert to fraction form
    10,039.86/15,051.57 = 3,796.33/x
  3. Step 3: Cross multiply
    10,039.86x = 15,051.57 × 3,796.33
  4. Step 4: Simplify right side
    10,039.86x = 57,140,726.74
  5. Step 5: Solve for x
    x = 57,140,726.74/10,039.86
  6. Step 6: Final answer
    x = 5,691.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.