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Finding the Fourth Proportional to 10,413.36, 15,610.32 and 3,483

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Solution

The fourth proportional to 10,413.36, 15,610.32 and 3,483 is: 5,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.36 : 15,610.32 = 3,483 : x
  2. Step 2: Convert to fraction form
    10,413.36/15,610.32 = 3,483/x
  3. Step 3: Cross multiply
    10,413.36x = 15,610.32 × 3,483
  4. Step 4: Simplify right side
    10,413.36x = 54,370,744.56
  5. Step 5: Solve for x
    x = 54,370,744.56/10,413.36
  6. Step 6: Final answer
    x = 5,221.25

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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.