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Finding the Fourth Proportional to 11,475.74, 15,845.86 and 9,351.59

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Solution

The fourth proportional to 11,475.74, 15,845.86 and 9,351.59 is: 12,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.74 : 15,845.86 = 9,351.59 : x
  2. Step 2: Convert to fraction form
    11,475.74/15,845.86 = 9,351.59/x
  3. Step 3: Cross multiply
    11,475.74x = 15,845.86 × 9,351.59
  4. Step 4: Simplify right side
    11,475.74x = 148,183,918.38
  5. Step 5: Solve for x
    x = 148,183,918.38/11,475.74
  6. Step 6: Final answer
    x = 12,912.80

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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.