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Finding the Fourth Proportional to 7,413.63, 10,230.83 and 4,269.83

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Solution

The fourth proportional to 7,413.63, 10,230.83 and 4,269.83 is: 5,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.63 : 10,230.83 = 4,269.83 : x
  2. Step 2: Convert to fraction form
    7,413.63/10,230.83 = 4,269.83/x
  3. Step 3: Cross multiply
    7,413.63x = 10,230.83 × 4,269.83
  4. Step 4: Simplify right side
    7,413.63x = 43,683,832.36
  5. Step 5: Solve for x
    x = 43,683,832.36/7,413.63
  6. Step 6: Final answer
    x = 5,892.37

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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.