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Finding the Fourth Proportional to 8,596.24, 12,890.04 and 3,982.48

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Solution

The fourth proportional to 8,596.24, 12,890.04 and 3,982.48 is: 5,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.24 : 12,890.04 = 3,982.48 : x
  2. Step 2: Convert to fraction form
    8,596.24/12,890.04 = 3,982.48/x
  3. Step 3: Cross multiply
    8,596.24x = 12,890.04 × 3,982.48
  4. Step 4: Simplify right side
    8,596.24x = 51,334,326.50
  5. Step 5: Solve for x
    x = 51,334,326.50/8,596.24
  6. Step 6: Final answer
    x = 5,971.72

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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.