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Finding the Fourth Proportional to 11,361.64, 15,683.34 and 6,647.44

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Solution

The fourth proportional to 11,361.64, 15,683.34 and 6,647.44 is: 9,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.64 : 15,683.34 = 6,647.44 : x
  2. Step 2: Convert to fraction form
    11,361.64/15,683.34 = 6,647.44/x
  3. Step 3: Cross multiply
    11,361.64x = 15,683.34 × 6,647.44
  4. Step 4: Simplify right side
    11,361.64x = 104,254,061.65
  5. Step 5: Solve for x
    x = 104,254,061.65/11,361.64
  6. Step 6: Final answer
    x = 9,175.97

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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.