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Finding the Fourth Proportional to 7,544.83, 10,413.98 and 4,560.84

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Solution

The fourth proportional to 7,544.83, 10,413.98 and 4,560.84 is: 6,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.83 : 10,413.98 = 4,560.84 : x
  2. Step 2: Convert to fraction form
    7,544.83/10,413.98 = 4,560.84/x
  3. Step 3: Cross multiply
    7,544.83x = 10,413.98 × 4,560.84
  4. Step 4: Simplify right side
    7,544.83x = 47,496,496.54
  5. Step 5: Solve for x
    x = 47,496,496.54/7,544.83
  6. Step 6: Final answer
    x = 6,295.24

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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.