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Finding the Fourth Proportional to 12,104.43, 16,699.95 and 7,564.02

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Solution

The fourth proportional to 12,104.43, 16,699.95 and 7,564.02 is: 10,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.43 : 16,699.95 = 7,564.02 : x
  2. Step 2: Convert to fraction form
    12,104.43/16,699.95 = 7,564.02/x
  3. Step 3: Cross multiply
    12,104.43x = 16,699.95 × 7,564.02
  4. Step 4: Simplify right side
    12,104.43x = 126,318,755.80
  5. Step 5: Solve for x
    x = 126,318,755.80/12,104.43
  6. Step 6: Final answer
    x = 10,435.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.