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Finding the Fourth Proportional to 11,651.76, 16,079.49 and 6,346.62

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Solution

The fourth proportional to 11,651.76, 16,079.49 and 6,346.62 is: 8,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.76 : 16,079.49 = 6,346.62 : x
  2. Step 2: Convert to fraction form
    11,651.76/16,079.49 = 6,346.62/x
  3. Step 3: Cross multiply
    11,651.76x = 16,079.49 × 6,346.62
  4. Step 4: Simplify right side
    11,651.76x = 102,050,412.82
  5. Step 5: Solve for x
    x = 102,050,412.82/11,651.76
  6. Step 6: Final answer
    x = 8,758.37

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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.