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Finding the Fourth Proportional to 10,843.96, 16,259.86 and 3,447.08

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Solution

The fourth proportional to 10,843.96, 16,259.86 and 3,447.08 is: 5,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.96 : 16,259.86 = 3,447.08 : x
  2. Step 2: Convert to fraction form
    10,843.96/16,259.86 = 3,447.08/x
  3. Step 3: Cross multiply
    10,843.96x = 16,259.86 × 3,447.08
  4. Step 4: Simplify right side
    10,843.96x = 56,049,038.21
  5. Step 5: Solve for x
    x = 56,049,038.21/10,843.96
  6. Step 6: Final answer
    x = 5,168.69

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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.