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Finding the Fourth Proportional to 8,032.96, 12,045.12 and 3,413.44

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Solution

The fourth proportional to 8,032.96, 12,045.12 and 3,413.44 is: 5,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.96 : 12,045.12 = 3,413.44 : x
  2. Step 2: Convert to fraction form
    8,032.96/12,045.12 = 3,413.44/x
  3. Step 3: Cross multiply
    8,032.96x = 12,045.12 × 3,413.44
  4. Step 4: Simplify right side
    8,032.96x = 41,115,294.41
  5. Step 5: Solve for x
    x = 41,115,294.41/8,032.96
  6. Step 6: Final answer
    x = 5,118.32

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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.