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Finding the Fourth Proportional to 7,589, 11,385.42 and 2,117

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Solution

The fourth proportional to 7,589, 11,385.42 and 2,117 is: 3,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589 : 11,385.42 = 2,117 : x
  2. Step 2: Convert to fraction form
    7,589/11,385.42 = 2,117/x
  3. Step 3: Cross multiply
    7,589x = 11,385.42 × 2,117
  4. Step 4: Simplify right side
    7,589x = 24,102,934.14
  5. Step 5: Solve for x
    x = 24,102,934.14/7,589
  6. Step 6: Final answer
    x = 3,176.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.