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Finding the Fourth Proportional to 8,273.96, 12,413.00 and 2,430.56

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Solution

The fourth proportional to 8,273.96, 12,413.00 and 2,430.56 is: 3,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.96 : 12,413.00 = 2,430.56 : x
  2. Step 2: Convert to fraction form
    8,273.96/12,413.00 = 2,430.56/x
  3. Step 3: Cross multiply
    8,273.96x = 12,413.00 × 2,430.56
  4. Step 4: Simplify right side
    8,273.96x = 30,170,560.16
  5. Step 5: Solve for x
    x = 30,170,560.16/8,273.96
  6. Step 6: Final answer
    x = 3,646.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.