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Finding the Fourth Proportional to 10,959.10, 16,427.85 and 5,413.30

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Solution

The fourth proportional to 10,959.10, 16,427.85 and 5,413.30 is: 8,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.10 : 16,427.85 = 5,413.30 : x
  2. Step 2: Convert to fraction form
    10,959.10/16,427.85 = 5,413.30/x
  3. Step 3: Cross multiply
    10,959.10x = 16,427.85 × 5,413.30
  4. Step 4: Simplify right side
    10,959.10x = 88,928,880.41
  5. Step 5: Solve for x
    x = 88,928,880.41/10,959.10
  6. Step 6: Final answer
    x = 8,114.62

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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.