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Finding the Fourth Proportional to 11,396.54, 15,728.29 and 6,361.22

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Solution

The fourth proportional to 11,396.54, 15,728.29 and 6,361.22 is: 8,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.54 : 15,728.29 = 6,361.22 : x
  2. Step 2: Convert to fraction form
    11,396.54/15,728.29 = 6,361.22/x
  3. Step 3: Cross multiply
    11,396.54x = 15,728.29 × 6,361.22
  4. Step 4: Simplify right side
    11,396.54x = 100,051,018.37
  5. Step 5: Solve for x
    x = 100,051,018.37/11,396.54
  6. Step 6: Final answer
    x = 8,779.07

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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.