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Finding the Fourth Proportional to 12,879.58, 17,774.52 and 7,843

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Solution

The fourth proportional to 12,879.58, 17,774.52 and 7,843 is: 10,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.58 : 17,774.52 = 7,843 : x
  2. Step 2: Convert to fraction form
    12,879.58/17,774.52 = 7,843/x
  3. Step 3: Cross multiply
    12,879.58x = 17,774.52 × 7,843
  4. Step 4: Simplify right side
    12,879.58x = 139,405,560.36
  5. Step 5: Solve for x
    x = 139,405,560.36/12,879.58
  6. Step 6: Final answer
    x = 10,823.77

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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.