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Finding the Fourth Proportional to 11,757.94, 17,636.34 and 4,363.84

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Solution

The fourth proportional to 11,757.94, 17,636.34 and 4,363.84 is: 6,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.94 : 17,636.34 = 4,363.84 : x
  2. Step 2: Convert to fraction form
    11,757.94/17,636.34 = 4,363.84/x
  3. Step 3: Cross multiply
    11,757.94x = 17,636.34 × 4,363.84
  4. Step 4: Simplify right side
    11,757.94x = 76,962,165.95
  5. Step 5: Solve for x
    x = 76,962,165.95/11,757.94
  6. Step 6: Final answer
    x = 6,545.55

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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.