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Finding the Fourth Proportional to 11,472.89, 17,202.40 and 5,146.61

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Solution

The fourth proportional to 11,472.89, 17,202.40 and 5,146.61 is: 7,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.89 : 17,202.40 = 5,146.61 : x
  2. Step 2: Convert to fraction form
    11,472.89/17,202.40 = 5,146.61/x
  3. Step 3: Cross multiply
    11,472.89x = 17,202.40 × 5,146.61
  4. Step 4: Simplify right side
    11,472.89x = 88,533,957.85
  5. Step 5: Solve for x
    x = 88,533,957.85/11,472.89
  6. Step 6: Final answer
    x = 7,716.80

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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.