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Finding the Fourth Proportional to 8,281.24, 12,413.22 and 3,354.28

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Solution

The fourth proportional to 8,281.24, 12,413.22 and 3,354.28 is: 5,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.24 : 12,413.22 = 3,354.28 : x
  2. Step 2: Convert to fraction form
    8,281.24/12,413.22 = 3,354.28/x
  3. Step 3: Cross multiply
    8,281.24x = 12,413.22 × 3,354.28
  4. Step 4: Simplify right side
    8,281.24x = 41,637,415.58
  5. Step 5: Solve for x
    x = 41,637,415.58/8,281.24
  6. Step 6: Final answer
    x = 5,027.92

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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.