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Finding the Fourth Proportional to 10,840.96, 16,263.73 and 3,820.69

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Solution

The fourth proportional to 10,840.96, 16,263.73 and 3,820.69 is: 5,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.96 : 16,263.73 = 3,820.69 : x
  2. Step 2: Convert to fraction form
    10,840.96/16,263.73 = 3,820.69/x
  3. Step 3: Cross multiply
    10,840.96x = 16,263.73 × 3,820.69
  4. Step 4: Simplify right side
    10,840.96x = 62,138,589.26
  5. Step 5: Solve for x
    x = 62,138,589.26/10,840.96
  6. Step 6: Final answer
    x = 5,731.84

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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.