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Finding the Fourth Proportional to 7,546.54, 10,413.42 and 4,188.46

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Solution

The fourth proportional to 7,546.54, 10,413.42 and 4,188.46 is: 5,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.54 : 10,413.42 = 4,188.46 : x
  2. Step 2: Convert to fraction form
    7,546.54/10,413.42 = 4,188.46/x
  3. Step 3: Cross multiply
    7,546.54x = 10,413.42 × 4,188.46
  4. Step 4: Simplify right side
    7,546.54x = 43,616,193.13
  5. Step 5: Solve for x
    x = 43,616,193.13/7,546.54
  6. Step 6: Final answer
    x = 5,779.63

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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.