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Finding the Fourth Proportional to 10,942.60, 16,413.90 and 7,486.60

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Solution

The fourth proportional to 10,942.60, 16,413.90 and 7,486.60 is: 11,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.60 : 16,413.90 = 7,486.60 : x
  2. Step 2: Convert to fraction form
    10,942.60/16,413.90 = 7,486.60/x
  3. Step 3: Cross multiply
    10,942.60x = 16,413.90 × 7,486.60
  4. Step 4: Simplify right side
    10,942.60x = 122,884,303.74
  5. Step 5: Solve for x
    x = 122,884,303.74/10,942.60
  6. Step 6: Final answer
    x = 11,229.90

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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.