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Finding the Fourth Proportional to 11,757.46, 17,636 and 4,737.31

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Solution

The fourth proportional to 11,757.46, 17,636 and 4,737.31 is: 7,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.46 : 17,636 = 4,737.31 : x
  2. Step 2: Convert to fraction form
    11,757.46/17,636 = 4,737.31/x
  3. Step 3: Cross multiply
    11,757.46x = 17,636 × 4,737.31
  4. Step 4: Simplify right side
    11,757.46x = 83,547,110.98
  5. Step 5: Solve for x
    x = 83,547,110.98/11,757.46
  6. Step 6: Final answer
    x = 7,105.88

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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.