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Finding the Fourth Proportional to 8,202.75, 12,278.61 and 7,940.31

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Solution

The fourth proportional to 8,202.75, 12,278.61 and 7,940.31 is: 11,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.75 : 12,278.61 = 7,940.31 : x
  2. Step 2: Convert to fraction form
    8,202.75/12,278.61 = 7,940.31/x
  3. Step 3: Cross multiply
    8,202.75x = 12,278.61 × 7,940.31
  4. Step 4: Simplify right side
    8,202.75x = 97,495,969.77
  5. Step 5: Solve for x
    x = 97,495,969.77/8,202.75
  6. Step 6: Final answer
    x = 11,885.77

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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.