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Finding the Fourth Proportional to 11,624.96, 17,438.34 and 6,976.64

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Solution

The fourth proportional to 11,624.96, 17,438.34 and 6,976.64 is: 10,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.96 : 17,438.34 = 6,976.64 : x
  2. Step 2: Convert to fraction form
    11,624.96/17,438.34 = 6,976.64/x
  3. Step 3: Cross multiply
    11,624.96x = 17,438.34 × 6,976.64
  4. Step 4: Simplify right side
    11,624.96x = 121,661,020.38
  5. Step 5: Solve for x
    x = 121,661,020.38/11,624.96
  6. Step 6: Final answer
    x = 10,465.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.