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Finding the Fourth Proportional to 8,782.71, 13,174.00 and 3,584.94

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Solution

The fourth proportional to 8,782.71, 13,174.00 and 3,584.94 is: 5,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.71 : 13,174.00 = 3,584.94 : x
  2. Step 2: Convert to fraction form
    8,782.71/13,174.00 = 3,584.94/x
  3. Step 3: Cross multiply
    8,782.71x = 13,174.00 × 3,584.94
  4. Step 4: Simplify right side
    8,782.71x = 47,227,990.60
  5. Step 5: Solve for x
    x = 47,227,990.60/8,782.71
  6. Step 6: Final answer
    x = 5,377.38

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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.