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Finding the Fourth Proportional to 8,403.38, 11,596.67 and 4,677.38

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Solution

The fourth proportional to 8,403.38, 11,596.67 and 4,677.38 is: 6,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.38 : 11,596.67 = 4,677.38 : x
  2. Step 2: Convert to fraction form
    8,403.38/11,596.67 = 4,677.38/x
  3. Step 3: Cross multiply
    8,403.38x = 11,596.67 × 4,677.38
  4. Step 4: Simplify right side
    8,403.38x = 54,241,950.95
  5. Step 5: Solve for x
    x = 54,241,950.95/8,403.38
  6. Step 6: Final answer
    x = 6,454.78

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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.