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Finding the Fourth Proportional to 8,133.12, 12,195.09 and 5,361.30

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Solution

The fourth proportional to 8,133.12, 12,195.09 and 5,361.30 is: 8,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.12 : 12,195.09 = 5,361.30 : x
  2. Step 2: Convert to fraction form
    8,133.12/12,195.09 = 5,361.30/x
  3. Step 3: Cross multiply
    8,133.12x = 12,195.09 × 5,361.30
  4. Step 4: Simplify right side
    8,133.12x = 65,381,536.02
  5. Step 5: Solve for x
    x = 65,381,536.02/8,133.12
  6. Step 6: Final answer
    x = 8,038.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.