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Finding the Fourth Proportional to 8,325.09, 11,477.70 and 6,413.07

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Solution

The fourth proportional to 8,325.09, 11,477.70 and 6,413.07 is: 8,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.09 : 11,477.70 = 6,413.07 : x
  2. Step 2: Convert to fraction form
    8,325.09/11,477.70 = 6,413.07/x
  3. Step 3: Cross multiply
    8,325.09x = 11,477.70 × 6,413.07
  4. Step 4: Simplify right side
    8,325.09x = 73,607,293.54
  5. Step 5: Solve for x
    x = 73,607,293.54/8,325.09
  6. Step 6: Final answer
    x = 8,841.62

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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.