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Finding the Fourth Proportional to 8,004.67, 11,046.27 and 4,647.76

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Solution

The fourth proportional to 8,004.67, 11,046.27 and 4,647.76 is: 6,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.67 : 11,046.27 = 4,647.76 : x
  2. Step 2: Convert to fraction form
    8,004.67/11,046.27 = 4,647.76/x
  3. Step 3: Cross multiply
    8,004.67x = 11,046.27 × 4,647.76
  4. Step 4: Simplify right side
    8,004.67x = 51,340,411.86
  5. Step 5: Solve for x
    x = 51,340,411.86/8,004.67
  6. Step 6: Final answer
    x = 6,413.81

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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.