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Finding the Fourth Proportional to 10,885.69, 15,022.26 and 5,917.69

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Solution

The fourth proportional to 10,885.69, 15,022.26 and 5,917.69 is: 8,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.69 : 15,022.26 = 5,917.69 : x
  2. Step 2: Convert to fraction form
    10,885.69/15,022.26 = 5,917.69/x
  3. Step 3: Cross multiply
    10,885.69x = 15,022.26 × 5,917.69
  4. Step 4: Simplify right side
    10,885.69x = 88,897,040.22
  5. Step 5: Solve for x
    x = 88,897,040.22/10,885.69
  6. Step 6: Final answer
    x = 8,166.41

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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.