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Finding the Fourth Proportional to 11,852.12, 16,355.82 and 6,546.93

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Solution

The fourth proportional to 11,852.12, 16,355.82 and 6,546.93 is: 9,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.12 : 16,355.82 = 6,546.93 : x
  2. Step 2: Convert to fraction form
    11,852.12/16,355.82 = 6,546.93/x
  3. Step 3: Cross multiply
    11,852.12x = 16,355.82 × 6,546.93
  4. Step 4: Simplify right side
    11,852.12x = 107,080,371.85
  5. Step 5: Solve for x
    x = 107,080,371.85/11,852.12
  6. Step 6: Final answer
    x = 9,034.70

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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.