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Finding the Fourth Proportional to 11,505.26, 15,876.60 and 6,469.68

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Solution

The fourth proportional to 11,505.26, 15,876.60 and 6,469.68 is: 8,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.26 : 15,876.60 = 6,469.68 : x
  2. Step 2: Convert to fraction form
    11,505.26/15,876.60 = 6,469.68/x
  3. Step 3: Cross multiply
    11,505.26x = 15,876.60 × 6,469.68
  4. Step 4: Simplify right side
    11,505.26x = 102,716,521.49
  5. Step 5: Solve for x
    x = 102,716,521.49/11,505.26
  6. Step 6: Final answer
    x = 8,927.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.