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Finding the Fourth Proportional to 11,829.34, 17,744.01 and 4,813.18

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Solution

The fourth proportional to 11,829.34, 17,744.01 and 4,813.18 is: 7,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.34 : 17,744.01 = 4,813.18 : x
  2. Step 2: Convert to fraction form
    11,829.34/17,744.01 = 4,813.18/x
  3. Step 3: Cross multiply
    11,829.34x = 17,744.01 × 4,813.18
  4. Step 4: Simplify right side
    11,829.34x = 85,405,114.05
  5. Step 5: Solve for x
    x = 85,405,114.05/11,829.34
  6. Step 6: Final answer
    x = 7,219.77

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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.