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Finding the Fourth Proportional to 11,180.51, 15,429.51 and 6,144.94

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Solution

The fourth proportional to 11,180.51, 15,429.51 and 6,144.94 is: 8,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.51 : 15,429.51 = 6,144.94 : x
  2. Step 2: Convert to fraction form
    11,180.51/15,429.51 = 6,144.94/x
  3. Step 3: Cross multiply
    11,180.51x = 15,429.51 × 6,144.94
  4. Step 4: Simplify right side
    11,180.51x = 94,813,413.18
  5. Step 5: Solve for x
    x = 94,813,413.18/11,180.51
  6. Step 6: Final answer
    x = 8,480.24

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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.