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Finding the Fourth Proportional to 8,421.43, 11,621.04 and 4,644.38

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Solution

The fourth proportional to 8,421.43, 11,621.04 and 4,644.38 is: 6,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.43 : 11,621.04 = 4,644.38 : x
  2. Step 2: Convert to fraction form
    8,421.43/11,621.04 = 4,644.38/x
  3. Step 3: Cross multiply
    8,421.43x = 11,621.04 × 4,644.38
  4. Step 4: Simplify right side
    8,421.43x = 53,972,525.76
  5. Step 5: Solve for x
    x = 53,972,525.76/8,421.43
  6. Step 6: Final answer
    x = 6,408.95

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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.