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Finding the Fourth Proportional to 11,105.10, 15,299 and 7,741.86

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Solution

The fourth proportional to 11,105.10, 15,299 and 7,741.86 is: 10,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.10 : 15,299 = 7,741.86 : x
  2. Step 2: Convert to fraction form
    11,105.10/15,299 = 7,741.86/x
  3. Step 3: Cross multiply
    11,105.10x = 15,299 × 7,741.86
  4. Step 4: Simplify right side
    11,105.10x = 118,442,716.14
  5. Step 5: Solve for x
    x = 118,442,716.14/11,105.10
  6. Step 6: Final answer
    x = 10,665.61

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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.