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Finding the Fourth Proportional to 8,402.90, 11,596.28 and 4,626.25

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Solution

The fourth proportional to 8,402.90, 11,596.28 and 4,626.25 is: 6,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.90 : 11,596.28 = 4,626.25 : x
  2. Step 2: Convert to fraction form
    8,402.90/11,596.28 = 4,626.25/x
  3. Step 3: Cross multiply
    8,402.90x = 11,596.28 × 4,626.25
  4. Step 4: Simplify right side
    8,402.90x = 53,647,238.23
  5. Step 5: Solve for x
    x = 53,647,238.23/8,402.90
  6. Step 6: Final answer
    x = 6,384.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.