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Finding the Fourth Proportional to 11,758.14, 16,226.46 and 6,452.64

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Solution

The fourth proportional to 11,758.14, 16,226.46 and 6,452.64 is: 8,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.14 : 16,226.46 = 6,452.64 : x
  2. Step 2: Convert to fraction form
    11,758.14/16,226.46 = 6,452.64/x
  3. Step 3: Cross multiply
    11,758.14x = 16,226.46 × 6,452.64
  4. Step 4: Simplify right side
    11,758.14x = 104,703,504.85
  5. Step 5: Solve for x
    x = 104,703,504.85/11,758.14
  6. Step 6: Final answer
    x = 8,904.77

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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.