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Finding the Fourth Proportional to 8,379.14, 11,643.39 and 8,288.01

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Solution

The fourth proportional to 8,379.14, 11,643.39 and 8,288.01 is: 11,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.14 : 11,643.39 = 8,288.01 : x
  2. Step 2: Convert to fraction form
    8,379.14/11,643.39 = 8,288.01/x
  3. Step 3: Cross multiply
    8,379.14x = 11,643.39 × 8,288.01
  4. Step 4: Simplify right side
    8,379.14x = 96,500,532.75
  5. Step 5: Solve for x
    x = 96,500,532.75/8,379.14
  6. Step 6: Final answer
    x = 11,516.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.