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Finding the Fourth Proportional to 7,413.76, 11,117.76 and 3,949.12

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Solution

The fourth proportional to 7,413.76, 11,117.76 and 3,949.12 is: 5,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.76 : 11,117.76 = 3,949.12 : x
  2. Step 2: Convert to fraction form
    7,413.76/11,117.76 = 3,949.12/x
  3. Step 3: Cross multiply
    7,413.76x = 11,117.76 × 3,949.12
  4. Step 4: Simplify right side
    7,413.76x = 43,905,368.37
  5. Step 5: Solve for x
    x = 43,905,368.37/7,413.76
  6. Step 6: Final answer
    x = 5,922.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.