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Finding the Fourth Proportional to 7,950.30, 10,971.48 and 4,413.84

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Solution

The fourth proportional to 7,950.30, 10,971.48 and 4,413.84 is: 6,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.30 : 10,971.48 = 4,413.84 : x
  2. Step 2: Convert to fraction form
    7,950.30/10,971.48 = 4,413.84/x
  3. Step 3: Cross multiply
    7,950.30x = 10,971.48 × 4,413.84
  4. Step 4: Simplify right side
    7,950.30x = 48,426,357.28
  5. Step 5: Solve for x
    x = 48,426,357.28/7,950.30
  6. Step 6: Final answer
    x = 6,091.14

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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.