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Finding the Fourth Proportional to 7,949.67, 10,970.74 and 4,413.03

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Solution

The fourth proportional to 7,949.67, 10,970.74 and 4,413.03 is: 6,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.67 : 10,970.74 = 4,413.03 : x
  2. Step 2: Convert to fraction form
    7,949.67/10,970.74 = 4,413.03/x
  3. Step 3: Cross multiply
    7,949.67x = 10,970.74 × 4,413.03
  4. Step 4: Simplify right side
    7,949.67x = 48,414,204.74
  5. Step 5: Solve for x
    x = 48,414,204.74/7,949.67
  6. Step 6: Final answer
    x = 6,090.09

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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.