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Finding the Fourth Proportional to 11,801.38, 17,706.33 and 5,953.60

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Solution

The fourth proportional to 11,801.38, 17,706.33 and 5,953.60 is: 8,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.38 : 17,706.33 = 5,953.60 : x
  2. Step 2: Convert to fraction form
    11,801.38/17,706.33 = 5,953.60/x
  3. Step 3: Cross multiply
    11,801.38x = 17,706.33 × 5,953.60
  4. Step 4: Simplify right side
    11,801.38x = 105,416,406.29
  5. Step 5: Solve for x
    x = 105,416,406.29/11,801.38
  6. Step 6: Final answer
    x = 8,932.55

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