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Finding the Fourth Proportional to 7,413.89, 10,231.00 and 4,056.66

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Solution

The fourth proportional to 7,413.89, 10,231.00 and 4,056.66 is: 5,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.89 : 10,231.00 = 4,056.66 : x
  2. Step 2: Convert to fraction form
    7,413.89/10,231.00 = 4,056.66/x
  3. Step 3: Cross multiply
    7,413.89x = 10,231.00 × 4,056.66
  4. Step 4: Simplify right side
    7,413.89x = 41,503,716.68
  5. Step 5: Solve for x
    x = 41,503,716.68/7,413.89
  6. Step 6: Final answer
    x = 5,598.10

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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.