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Finding the Fourth Proportional to 8,424.36, 11,618.76 and 7,413.88

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Solution

The fourth proportional to 8,424.36, 11,618.76 and 7,413.88 is: 10,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.36 : 11,618.76 = 7,413.88 : x
  2. Step 2: Convert to fraction form
    8,424.36/11,618.76 = 7,413.88/x
  3. Step 3: Cross multiply
    8,424.36x = 11,618.76 × 7,413.88
  4. Step 4: Simplify right side
    8,424.36x = 86,140,092.39
  5. Step 5: Solve for x
    x = 86,140,092.39/8,424.36
  6. Step 6: Final answer
    x = 10,225.12

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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.