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Finding the Fourth Proportional to 7,949.66, 10,970.78 and 4,413.13

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Solution

The fourth proportional to 7,949.66, 10,970.78 and 4,413.13 is: 6,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.66 : 10,970.78 = 4,413.13 : x
  2. Step 2: Convert to fraction form
    7,949.66/10,970.78 = 4,413.13/x
  3. Step 3: Cross multiply
    7,949.66x = 10,970.78 × 4,413.13
  4. Step 4: Simplify right side
    7,949.66x = 48,415,428.85
  5. Step 5: Solve for x
    x = 48,415,428.85/7,949.66
  6. Step 6: Final answer
    x = 6,090.26

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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.