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Finding the Fourth Proportional to 8,435.48, 11,639.52 and 5,413.28

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Solution

The fourth proportional to 8,435.48, 11,639.52 and 5,413.28 is: 7,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.48 : 11,639.52 = 5,413.28 : x
  2. Step 2: Convert to fraction form
    8,435.48/11,639.52 = 5,413.28/x
  3. Step 3: Cross multiply
    8,435.48x = 11,639.52 × 5,413.28
  4. Step 4: Simplify right side
    8,435.48x = 63,007,922.63
  5. Step 5: Solve for x
    x = 63,007,922.63/8,435.48
  6. Step 6: Final answer
    x = 7,469.40

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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.