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Finding the Fourth Proportional to 11,644.29, 17,466.39 and 5,069.70

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Solution

The fourth proportional to 11,644.29, 17,466.39 and 5,069.70 is: 7,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.29 : 17,466.39 = 5,069.70 : x
  2. Step 2: Convert to fraction form
    11,644.29/17,466.39 = 5,069.70/x
  3. Step 3: Cross multiply
    11,644.29x = 17,466.39 × 5,069.70
  4. Step 4: Simplify right side
    11,644.29x = 88,549,357.38
  5. Step 5: Solve for x
    x = 88,549,357.38/11,644.29
  6. Step 6: Final answer
    x = 7,604.53

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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.