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Finding the Fourth Proportional to 11,763.46, 17,674.00 and 7,548.53

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Solution

The fourth proportional to 11,763.46, 17,674.00 and 7,548.53 is: 11,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.46 : 17,674.00 = 7,548.53 : x
  2. Step 2: Convert to fraction form
    11,763.46/17,674.00 = 7,548.53/x
  3. Step 3: Cross multiply
    11,763.46x = 17,674.00 × 7,548.53
  4. Step 4: Simplify right side
    11,763.46x = 133,412,611.98
  5. Step 5: Solve for x
    x = 133,412,611.98/11,763.46
  6. Step 6: Final answer
    x = 11,341.27

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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.