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Finding the Fourth Proportional to 11,543.50, 17,303.10 and 8,246.80

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Solution

The fourth proportional to 11,543.50, 17,303.10 and 8,246.80 is: 12,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.50 : 17,303.10 = 8,246.80 : x
  2. Step 2: Convert to fraction form
    11,543.50/17,303.10 = 8,246.80/x
  3. Step 3: Cross multiply
    11,543.50x = 17,303.10 × 8,246.80
  4. Step 4: Simplify right side
    11,543.50x = 142,695,205.08
  5. Step 5: Solve for x
    x = 142,695,205.08/11,543.50
  6. Step 6: Final answer
    x = 12,361.52

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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.