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Finding the Fourth Proportional to 11,846.25, 16,348.03 and 7,661.79

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Solution

The fourth proportional to 11,846.25, 16,348.03 and 7,661.79 is: 10,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 16,348.03 = 7,661.79 : x
  2. Step 2: Convert to fraction form
    11,846.25/16,348.03 = 7,661.79/x
  3. Step 3: Cross multiply
    11,846.25x = 16,348.03 × 7,661.79
  4. Step 4: Simplify right side
    11,846.25x = 125,255,153.62
  5. Step 5: Solve for x
    x = 125,255,153.62/11,846.25
  6. Step 6: Final answer
    x = 10,573.40

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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.