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Finding the Fourth Proportional to 12,594.29, 17,379.38 and 6,928.83

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Solution

The fourth proportional to 12,594.29, 17,379.38 and 6,928.83 is: 9,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.29 : 17,379.38 = 6,928.83 : x
  2. Step 2: Convert to fraction form
    12,594.29/17,379.38 = 6,928.83/x
  3. Step 3: Cross multiply
    12,594.29x = 17,379.38 × 6,928.83
  4. Step 4: Simplify right side
    12,594.29x = 120,418,734.88
  5. Step 5: Solve for x
    x = 120,418,734.88/12,594.29
  6. Step 6: Final answer
    x = 9,561.38

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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.