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Finding the Fourth Proportional to 7,413.52, 10,231.56 and 4,227.60

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Solution

The fourth proportional to 7,413.52, 10,231.56 and 4,227.60 is: 5,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.52 : 10,231.56 = 4,227.60 : x
  2. Step 2: Convert to fraction form
    7,413.52/10,231.56 = 4,227.60/x
  3. Step 3: Cross multiply
    7,413.52x = 10,231.56 × 4,227.60
  4. Step 4: Simplify right side
    7,413.52x = 43,254,943.06
  5. Step 5: Solve for x
    x = 43,254,943.06/7,413.52
  6. Step 6: Final answer
    x = 5,834.60

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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.