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Finding the Fourth Proportional to 11,114.73, 16,661.03 and 9,146.43

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Solution

The fourth proportional to 11,114.73, 16,661.03 and 9,146.43 is: 13,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.73 : 16,661.03 = 9,146.43 : x
  2. Step 2: Convert to fraction form
    11,114.73/16,661.03 = 9,146.43/x
  3. Step 3: Cross multiply
    11,114.73x = 16,661.03 × 9,146.43
  4. Step 4: Simplify right side
    11,114.73x = 152,388,898.89
  5. Step 5: Solve for x
    x = 152,388,898.89/11,114.73
  6. Step 6: Final answer
    x = 13,710.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.