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Finding the Fourth Proportional to 11,744.73, 16,207.22 and 7,031.61

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Solution

The fourth proportional to 11,744.73, 16,207.22 and 7,031.61 is: 9,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.73 : 16,207.22 = 7,031.61 : x
  2. Step 2: Convert to fraction form
    11,744.73/16,207.22 = 7,031.61/x
  3. Step 3: Cross multiply
    11,744.73x = 16,207.22 × 7,031.61
  4. Step 4: Simplify right side
    11,744.73x = 113,962,815.07
  5. Step 5: Solve for x
    x = 113,962,815.07/11,744.73
  6. Step 6: Final answer
    x = 9,703.32

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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.