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Finding the Fourth Proportional to 8,000.75, 11,042.25 and 4,856.33

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Solution

The fourth proportional to 8,000.75, 11,042.25 and 4,856.33 is: 6,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.75 : 11,042.25 = 4,856.33 : x
  2. Step 2: Convert to fraction form
    8,000.75/11,042.25 = 4,856.33/x
  3. Step 3: Cross multiply
    8,000.75x = 11,042.25 × 4,856.33
  4. Step 4: Simplify right side
    8,000.75x = 53,624,809.94
  5. Step 5: Solve for x
    x = 53,624,809.94/8,000.75
  6. Step 6: Final answer
    x = 6,702.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.