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Finding the Fourth Proportional to 8,048.57, 12,072.86 and 2,205.23

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Solution

The fourth proportional to 8,048.57, 12,072.86 and 2,205.23 is: 3,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.57 : 12,072.86 = 2,205.23 : x
  2. Step 2: Convert to fraction form
    8,048.57/12,072.86 = 2,205.23/x
  3. Step 3: Cross multiply
    8,048.57x = 12,072.86 × 2,205.23
  4. Step 4: Simplify right side
    8,048.57x = 26,623,422.03
  5. Step 5: Solve for x
    x = 26,623,422.03/8,048.57
  6. Step 6: Final answer
    x = 3,307.85

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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.