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Finding the Fourth Proportional to 13,181.04, 18,193.08 and 7,879

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Solution

The fourth proportional to 13,181.04, 18,193.08 and 7,879 is: 10,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.04 : 18,193.08 = 7,879 : x
  2. Step 2: Convert to fraction form
    13,181.04/18,193.08 = 7,879/x
  3. Step 3: Cross multiply
    13,181.04x = 18,193.08 × 7,879
  4. Step 4: Simplify right side
    13,181.04x = 143,343,277.32
  5. Step 5: Solve for x
    x = 143,343,277.32/13,181.04
  6. Step 6: Final answer
    x = 10,874.96

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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.