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Finding the Fourth Proportional to 11,677.44, 17,503.74 and 5,820.96

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Solution

The fourth proportional to 11,677.44, 17,503.74 and 5,820.96 is: 8,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.44 : 17,503.74 = 5,820.96 : x
  2. Step 2: Convert to fraction form
    11,677.44/17,503.74 = 5,820.96/x
  3. Step 3: Cross multiply
    11,677.44x = 17,503.74 × 5,820.96
  4. Step 4: Simplify right side
    11,677.44x = 101,888,570.39
  5. Step 5: Solve for x
    x = 101,888,570.39/11,677.44
  6. Step 6: Final answer
    x = 8,725.25

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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.