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Finding the Fourth Proportional to 12,107.73, 16,708.65 and 6,730.00

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Solution

The fourth proportional to 12,107.73, 16,708.65 and 6,730.00 is: 9,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.73 : 16,708.65 = 6,730.00 : x
  2. Step 2: Convert to fraction form
    12,107.73/16,708.65 = 6,730.00/x
  3. Step 3: Cross multiply
    12,107.73x = 16,708.65 × 6,730.00
  4. Step 4: Simplify right side
    12,107.73x = 112,449,172.73
  5. Step 5: Solve for x
    x = 112,449,172.73/12,107.73
  6. Step 6: Final answer
    x = 9,287.39

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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.