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Finding the Fourth Proportional to 11,463.90, 15,821 and 6,361.09

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Solution

The fourth proportional to 11,463.90, 15,821 and 6,361.09 is: 8,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.90 : 15,821 = 6,361.09 : x
  2. Step 2: Convert to fraction form
    11,463.90/15,821 = 6,361.09/x
  3. Step 3: Cross multiply
    11,463.90x = 15,821 × 6,361.09
  4. Step 4: Simplify right side
    11,463.90x = 100,638,804.89
  5. Step 5: Solve for x
    x = 100,638,804.89/11,463.90
  6. Step 6: Final answer
    x = 8,778.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.