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Finding the Fourth Proportional to 11,413.44, 15,748.32 and 6,444.48

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Solution

The fourth proportional to 11,413.44, 15,748.32 and 6,444.48 is: 8,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.44 : 15,748.32 = 6,444.48 : x
  2. Step 2: Convert to fraction form
    11,413.44/15,748.32 = 6,444.48/x
  3. Step 3: Cross multiply
    11,413.44x = 15,748.32 × 6,444.48
  4. Step 4: Simplify right side
    11,413.44x = 101,489,733.27
  5. Step 5: Solve for x
    x = 101,489,733.27/11,413.44
  6. Step 6: Final answer
    x = 8,892.12

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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.