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Finding the Fourth Proportional to 11,651.83, 16,079.55 and 6,346.63

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Solution

The fourth proportional to 11,651.83, 16,079.55 and 6,346.63 is: 8,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.83 : 16,079.55 = 6,346.63 : x
  2. Step 2: Convert to fraction form
    11,651.83/16,079.55 = 6,346.63/x
  3. Step 3: Cross multiply
    11,651.83x = 16,079.55 × 6,346.63
  4. Step 4: Simplify right side
    11,651.83x = 102,050,954.42
  5. Step 5: Solve for x
    x = 102,050,954.42/11,651.83
  6. Step 6: Final answer
    x = 8,758.36

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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.