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Finding the Fourth Proportional to 10,935, 16,413.44 and 5,751.81

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Solution

The fourth proportional to 10,935, 16,413.44 and 5,751.81 is: 8,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935 : 16,413.44 = 5,751.81 : x
  2. Step 2: Convert to fraction form
    10,935/16,413.44 = 5,751.81/x
  3. Step 3: Cross multiply
    10,935x = 16,413.44 × 5,751.81
  4. Step 4: Simplify right side
    10,935x = 94,406,959.57
  5. Step 5: Solve for x
    x = 94,406,959.57/10,935
  6. Step 6: Final answer
    x = 8,633.47

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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.