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Finding the Fourth Proportional to 12,080.34, 16,654.41 and 7,823.79

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Solution

The fourth proportional to 12,080.34, 16,654.41 and 7,823.79 is: 10,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.34 : 16,654.41 = 7,823.79 : x
  2. Step 2: Convert to fraction form
    12,080.34/16,654.41 = 7,823.79/x
  3. Step 3: Cross multiply
    12,080.34x = 16,654.41 × 7,823.79
  4. Step 4: Simplify right side
    12,080.34x = 130,300,606.41
  5. Step 5: Solve for x
    x = 130,300,606.41/12,080.34
  6. Step 6: Final answer
    x = 10,786.17

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