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Finding the Fourth Proportional to 11,841.96, 17,762.94 and 4,824.94

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Solution

The fourth proportional to 11,841.96, 17,762.94 and 4,824.94 is: 7,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.96 : 17,762.94 = 4,824.94 : x
  2. Step 2: Convert to fraction form
    11,841.96/17,762.94 = 4,824.94/x
  3. Step 3: Cross multiply
    11,841.96x = 17,762.94 × 4,824.94
  4. Step 4: Simplify right side
    11,841.96x = 85,705,119.72
  5. Step 5: Solve for x
    x = 85,705,119.72/11,841.96
  6. Step 6: Final answer
    x = 7,237.41

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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.