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Finding the Fourth Proportional to 11,131.83, 15,361.65 and 6,096.06

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Solution

The fourth proportional to 11,131.83, 15,361.65 and 6,096.06 is: 8,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.83 : 15,361.65 = 6,096.06 : x
  2. Step 2: Convert to fraction form
    11,131.83/15,361.65 = 6,096.06/x
  3. Step 3: Cross multiply
    11,131.83x = 15,361.65 × 6,096.06
  4. Step 4: Simplify right side
    11,131.83x = 93,645,540.10
  5. Step 5: Solve for x
    x = 93,645,540.10/11,131.83
  6. Step 6: Final answer
    x = 8,412.41

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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.