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Finding the Fourth Proportional to 11,857.83, 16,363.80 and 6,552.60

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Solution

The fourth proportional to 11,857.83, 16,363.80 and 6,552.60 is: 9,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.83 : 16,363.80 = 6,552.60 : x
  2. Step 2: Convert to fraction form
    11,857.83/16,363.80 = 6,552.60/x
  3. Step 3: Cross multiply
    11,857.83x = 16,363.80 × 6,552.60
  4. Step 4: Simplify right side
    11,857.83x = 107,225,435.88
  5. Step 5: Solve for x
    x = 107,225,435.88/11,857.83
  6. Step 6: Final answer
    x = 9,042.59

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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.