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Finding the Fourth Proportional to 7,546.56, 10,413.84 and 4,188.96

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Solution

The fourth proportional to 7,546.56, 10,413.84 and 4,188.96 is: 5,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.56 : 10,413.84 = 4,188.96 : x
  2. Step 2: Convert to fraction form
    7,546.56/10,413.84 = 4,188.96/x
  3. Step 3: Cross multiply
    7,546.56x = 10,413.84 × 4,188.96
  4. Step 4: Simplify right side
    7,546.56x = 43,623,159.21
  5. Step 5: Solve for x
    x = 43,623,159.21/7,546.56
  6. Step 6: Final answer
    x = 5,780.54

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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.