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Finding the Fourth Proportional to 11,413.96, 15,746.57 and 6,936.99

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Solution

The fourth proportional to 11,413.96, 15,746.57 and 6,936.99 is: 9,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.96 : 15,746.57 = 6,936.99 : x
  2. Step 2: Convert to fraction form
    11,413.96/15,746.57 = 6,936.99/x
  3. Step 3: Cross multiply
    11,413.96x = 15,746.57 × 6,936.99
  4. Step 4: Simplify right side
    11,413.96x = 109,233,702.55
  5. Step 5: Solve for x
    x = 109,233,702.55/11,413.96
  6. Step 6: Final answer
    x = 9,570.19

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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.