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Finding the Fourth Proportional to 7,546.34, 10,413.64 and 4,189.30

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Solution

The fourth proportional to 7,546.34, 10,413.64 and 4,189.30 is: 5,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.34 : 10,413.64 = 4,189.30 : x
  2. Step 2: Convert to fraction form
    7,546.34/10,413.64 = 4,189.30/x
  3. Step 3: Cross multiply
    7,546.34x = 10,413.64 × 4,189.30
  4. Step 4: Simplify right side
    7,546.34x = 43,625,862.05
  5. Step 5: Solve for x
    x = 43,625,862.05/7,546.34
  6. Step 6: Final answer
    x = 5,781.06

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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.