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Finding the Fourth Proportional to 11,865.30, 16,372.96 and 6,559.39

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Solution

The fourth proportional to 11,865.30, 16,372.96 and 6,559.39 is: 9,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.30 : 16,372.96 = 6,559.39 : x
  2. Step 2: Convert to fraction form
    11,865.30/16,372.96 = 6,559.39/x
  3. Step 3: Cross multiply
    11,865.30x = 16,372.96 × 6,559.39
  4. Step 4: Simplify right side
    11,865.30x = 107,396,630.09
  5. Step 5: Solve for x
    x = 107,396,630.09/11,865.30
  6. Step 6: Final answer
    x = 9,051.32

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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.