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Finding the Fourth Proportional to 8,233.56, 11,361.24 and 4,875.84

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Solution

The fourth proportional to 8,233.56, 11,361.24 and 4,875.84 is: 6,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.56 : 11,361.24 = 4,875.84 : x
  2. Step 2: Convert to fraction form
    8,233.56/11,361.24 = 4,875.84/x
  3. Step 3: Cross multiply
    8,233.56x = 11,361.24 × 4,875.84
  4. Step 4: Simplify right side
    8,233.56x = 55,395,588.44
  5. Step 5: Solve for x
    x = 55,395,588.44/8,233.56
  6. Step 6: Final answer
    x = 6,728.02

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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.