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Finding the Fourth Proportional to 12,181.08, 16,813.14 and 6,879

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Solution

The fourth proportional to 12,181.08, 16,813.14 and 6,879 is: 9,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.08 : 16,813.14 = 6,879 : x
  2. Step 2: Convert to fraction form
    12,181.08/16,813.14 = 6,879/x
  3. Step 3: Cross multiply
    12,181.08x = 16,813.14 × 6,879
  4. Step 4: Simplify right side
    12,181.08x = 115,657,590.06
  5. Step 5: Solve for x
    x = 115,657,590.06/12,181.08
  6. Step 6: Final answer
    x = 9,494.86

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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.