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Finding the Fourth Proportional to 12,589.63, 17,372.63 and 7,284.79

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Solution

The fourth proportional to 12,589.63, 17,372.63 and 7,284.79 is: 10,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.63 : 17,372.63 = 7,284.79 : x
  2. Step 2: Convert to fraction form
    12,589.63/17,372.63 = 7,284.79/x
  3. Step 3: Cross multiply
    12,589.63x = 17,372.63 × 7,284.79
  4. Step 4: Simplify right side
    12,589.63x = 126,555,862.53
  5. Step 5: Solve for x
    x = 126,555,862.53/12,589.63
  6. Step 6: Final answer
    x = 10,052.39

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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.