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Finding the Fourth Proportional to 8,004.44, 11,047.38 and 4,647.26

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Solution

The fourth proportional to 8,004.44, 11,047.38 and 4,647.26 is: 6,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.44 : 11,047.38 = 4,647.26 : x
  2. Step 2: Convert to fraction form
    8,004.44/11,047.38 = 4,647.26/x
  3. Step 3: Cross multiply
    8,004.44x = 11,047.38 × 4,647.26
  4. Step 4: Simplify right side
    8,004.44x = 51,340,047.18
  5. Step 5: Solve for x
    x = 51,340,047.18/8,004.44
  6. Step 6: Final answer
    x = 6,413.95

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Why These Related Problems?

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