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Finding the Fourth Proportional to 12,077.30, 16,668.78 and 7,044.46

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Solution

The fourth proportional to 12,077.30, 16,668.78 and 7,044.46 is: 9,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.30 : 16,668.78 = 7,044.46 : x
  2. Step 2: Convert to fraction form
    12,077.30/16,668.78 = 7,044.46/x
  3. Step 3: Cross multiply
    12,077.30x = 16,668.78 × 7,044.46
  4. Step 4: Simplify right side
    12,077.30x = 117,422,553.96
  5. Step 5: Solve for x
    x = 117,422,553.96/12,077.30
  6. Step 6: Final answer
    x = 9,722.58

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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.