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Finding the Fourth Proportional to 8,604.25, 12,884.50 and 7,882.54

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Solution

The fourth proportional to 8,604.25, 12,884.50 and 7,882.54 is: 11,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.25 : 12,884.50 = 7,882.54 : x
  2. Step 2: Convert to fraction form
    8,604.25/12,884.50 = 7,882.54/x
  3. Step 3: Cross multiply
    8,604.25x = 12,884.50 × 7,882.54
  4. Step 4: Simplify right side
    8,604.25x = 101,562,564.27
  5. Step 5: Solve for x
    x = 101,562,564.27/8,604.25
  6. Step 6: Final answer
    x = 11,803.77

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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.