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Finding the Fourth Proportional to 12,790.09, 17,639.53 and 8,310.39

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Solution

The fourth proportional to 12,790.09, 17,639.53 and 8,310.39 is: 11,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.09 : 17,639.53 = 8,310.39 : x
  2. Step 2: Convert to fraction form
    12,790.09/17,639.53 = 8,310.39/x
  3. Step 3: Cross multiply
    12,790.09x = 17,639.53 × 8,310.39
  4. Step 4: Simplify right side
    12,790.09x = 146,591,373.72
  5. Step 5: Solve for x
    x = 146,591,373.72/12,790.09
  6. Step 6: Final answer
    x = 11,461.32

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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.