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Finding the Fourth Proportional to 8,083.80, 11,154.11 and 4,896.45

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Solution

The fourth proportional to 8,083.80, 11,154.11 and 4,896.45 is: 6,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.80 : 11,154.11 = 4,896.45 : x
  2. Step 2: Convert to fraction form
    8,083.80/11,154.11 = 4,896.45/x
  3. Step 3: Cross multiply
    8,083.80x = 11,154.11 × 4,896.45
  4. Step 4: Simplify right side
    8,083.80x = 54,615,517.43
  5. Step 5: Solve for x
    x = 54,615,517.43/8,083.80
  6. Step 6: Final answer
    x = 6,756.17

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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.