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Finding the Fourth Proportional to 11,857.29, 16,363.41 and 6,552.45

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Solution

The fourth proportional to 11,857.29, 16,363.41 and 6,552.45 is: 9,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.29 : 16,363.41 = 6,552.45 : x
  2. Step 2: Convert to fraction form
    11,857.29/16,363.41 = 6,552.45/x
  3. Step 3: Cross multiply
    11,857.29x = 16,363.41 × 6,552.45
  4. Step 4: Simplify right side
    11,857.29x = 107,220,425.85
  5. Step 5: Solve for x
    x = 107,220,425.85/11,857.29
  6. Step 6: Final answer
    x = 9,042.57

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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.