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Finding the Fourth Proportional to 8,379, 11,563.38 and 4,653

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Solution

The fourth proportional to 8,379, 11,563.38 and 4,653 is: 6,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379 : 11,563.38 = 4,653 : x
  2. Step 2: Convert to fraction form
    8,379/11,563.38 = 4,653/x
  3. Step 3: Cross multiply
    8,379x = 11,563.38 × 4,653
  4. Step 4: Simplify right side
    8,379x = 53,804,407.14
  5. Step 5: Solve for x
    x = 53,804,407.14/8,379
  6. Step 6: Final answer
    x = 6,421.34

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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.