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Finding the Fourth Proportional to 11,863.63, 17,795.22 and 3,543.67

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Solution

The fourth proportional to 11,863.63, 17,795.22 and 3,543.67 is: 5,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.63 : 17,795.22 = 3,543.67 : x
  2. Step 2: Convert to fraction form
    11,863.63/17,795.22 = 3,543.67/x
  3. Step 3: Cross multiply
    11,863.63x = 17,795.22 × 3,543.67
  4. Step 4: Simplify right side
    11,863.63x = 63,060,387.26
  5. Step 5: Solve for x
    x = 63,060,387.26/11,863.63
  6. Step 6: Final answer
    x = 5,315.44

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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.