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Finding the Fourth Proportional to 8,413.93, 11,623.01 and 7,971.07

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Solution

The fourth proportional to 8,413.93, 11,623.01 and 7,971.07 is: 11,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.93 : 11,623.01 = 7,971.07 : x
  2. Step 2: Convert to fraction form
    8,413.93/11,623.01 = 7,971.07/x
  3. Step 3: Cross multiply
    8,413.93x = 11,623.01 × 7,971.07
  4. Step 4: Simplify right side
    8,413.93x = 92,647,826.32
  5. Step 5: Solve for x
    x = 92,647,826.32/8,413.93
  6. Step 6: Final answer
    x = 11,011.24

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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.