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Finding the Fourth Proportional to 11,651.42, 16,079.62 and 6,346.14

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Solution

The fourth proportional to 11,651.42, 16,079.62 and 6,346.14 is: 8,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.42 : 16,079.62 = 6,346.14 : x
  2. Step 2: Convert to fraction form
    11,651.42/16,079.62 = 6,346.14/x
  3. Step 3: Cross multiply
    11,651.42x = 16,079.62 × 6,346.14
  4. Step 4: Simplify right side
    11,651.42x = 102,043,519.67
  5. Step 5: Solve for x
    x = 102,043,519.67/11,651.42
  6. Step 6: Final answer
    x = 8,758.03

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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.