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Finding the Fourth Proportional to 10,961.56, 16,437 and 5,413.08

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Solution

The fourth proportional to 10,961.56, 16,437 and 5,413.08 is: 8,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.56 : 16,437 = 5,413.08 : x
  2. Step 2: Convert to fraction form
    10,961.56/16,437 = 5,413.08/x
  3. Step 3: Cross multiply
    10,961.56x = 16,437 × 5,413.08
  4. Step 4: Simplify right side
    10,961.56x = 88,974,795.96
  5. Step 5: Solve for x
    x = 88,974,795.96/10,961.56
  6. Step 6: Final answer
    x = 8,116.98

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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.