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Finding the Fourth Proportional to 8,072.88, 12,114.87 and 3,142.56

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Solution

The fourth proportional to 8,072.88, 12,114.87 and 3,142.56 is: 4,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.88 : 12,114.87 = 3,142.56 : x
  2. Step 2: Convert to fraction form
    8,072.88/12,114.87 = 3,142.56/x
  3. Step 3: Cross multiply
    8,072.88x = 12,114.87 × 3,142.56
  4. Step 4: Simplify right side
    8,072.88x = 38,071,705.87
  5. Step 5: Solve for x
    x = 38,071,705.87/8,072.88
  6. Step 6: Final answer
    x = 4,716.00

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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.