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Finding the Fourth Proportional to 10,447.85, 15,677.16 and 6,940.28

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Solution

The fourth proportional to 10,447.85, 15,677.16 and 6,940.28 is: 10,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.85 : 15,677.16 = 6,940.28 : x
  2. Step 2: Convert to fraction form
    10,447.85/15,677.16 = 6,940.28/x
  3. Step 3: Cross multiply
    10,447.85x = 15,677.16 × 6,940.28
  4. Step 4: Simplify right side
    10,447.85x = 108,803,766.92
  5. Step 5: Solve for x
    x = 108,803,766.92/10,447.85
  6. Step 6: Final answer
    x = 10,413.99

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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.