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Finding the Fourth Proportional to 11,588.73, 17,384.45 and 4,196.67

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Solution

The fourth proportional to 11,588.73, 17,384.45 and 4,196.67 is: 6,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.73 : 17,384.45 = 4,196.67 : x
  2. Step 2: Convert to fraction form
    11,588.73/17,384.45 = 4,196.67/x
  3. Step 3: Cross multiply
    11,588.73x = 17,384.45 × 4,196.67
  4. Step 4: Simplify right side
    11,588.73x = 72,956,778.80
  5. Step 5: Solve for x
    x = 72,956,778.80/11,588.73
  6. Step 6: Final answer
    x = 6,295.49

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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.