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Finding the Fourth Proportional to 11,857.84, 16,363.58 and 6,552.54

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Solution

The fourth proportional to 11,857.84, 16,363.58 and 6,552.54 is: 9,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.84 : 16,363.58 = 6,552.54 : x
  2. Step 2: Convert to fraction form
    11,857.84/16,363.58 = 6,552.54/x
  3. Step 3: Cross multiply
    11,857.84x = 16,363.58 × 6,552.54
  4. Step 4: Simplify right side
    11,857.84x = 107,222,930.68
  5. Step 5: Solve for x
    x = 107,222,930.68/11,857.84
  6. Step 6: Final answer
    x = 9,042.37

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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.