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Finding the Fourth Proportional to 11,623.44, 16,044.30 and 7,147.38

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Solution

The fourth proportional to 11,623.44, 16,044.30 and 7,147.38 is: 9,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.44 : 16,044.30 = 7,147.38 : x
  2. Step 2: Convert to fraction form
    11,623.44/16,044.30 = 7,147.38/x
  3. Step 3: Cross multiply
    11,623.44x = 16,044.30 × 7,147.38
  4. Step 4: Simplify right side
    11,623.44x = 114,674,708.93
  5. Step 5: Solve for x
    x = 114,674,708.93/11,623.44
  6. Step 6: Final answer
    x = 9,865.82

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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.