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Finding the Fourth Proportional to 10,942.40, 16,413.60 and 7,051.20

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Solution

The fourth proportional to 10,942.40, 16,413.60 and 7,051.20 is: 10,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.40 : 16,413.60 = 7,051.20 : x
  2. Step 2: Convert to fraction form
    10,942.40/16,413.60 = 7,051.20/x
  3. Step 3: Cross multiply
    10,942.40x = 16,413.60 × 7,051.20
  4. Step 4: Simplify right side
    10,942.40x = 115,735,576.32
  5. Step 5: Solve for x
    x = 115,735,576.32/10,942.40
  6. Step 6: Final answer
    x = 10,576.80

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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.