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Finding the Fourth Proportional to 8,419.50, 12,636.09 and 7,194.78

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Solution

The fourth proportional to 8,419.50, 12,636.09 and 7,194.78 is: 10,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.50 : 12,636.09 = 7,194.78 : x
  2. Step 2: Convert to fraction form
    8,419.50/12,636.09 = 7,194.78/x
  3. Step 3: Cross multiply
    8,419.50x = 12,636.09 × 7,194.78
  4. Step 4: Simplify right side
    8,419.50x = 90,913,887.61
  5. Step 5: Solve for x
    x = 90,913,887.61/8,419.50
  6. Step 6: Final answer
    x = 10,798.02

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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.