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Finding the Fourth Proportional to 11,857.30, 16,363.55 and 6,821.52

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Solution

The fourth proportional to 11,857.30, 16,363.55 and 6,821.52 is: 9,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.30 : 16,363.55 = 6,821.52 : x
  2. Step 2: Convert to fraction form
    11,857.30/16,363.55 = 6,821.52/x
  3. Step 3: Cross multiply
    11,857.30x = 16,363.55 × 6,821.52
  4. Step 4: Simplify right side
    11,857.30x = 111,624,283.60
  5. Step 5: Solve for x
    x = 111,624,283.60/11,857.30
  6. Step 6: Final answer
    x = 9,413.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.