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Finding the Fourth Proportional to 11,641.27, 17,461.61 and 2,876.26

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Solution

The fourth proportional to 11,641.27, 17,461.61 and 2,876.26 is: 4,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.27 : 17,461.61 = 2,876.26 : x
  2. Step 2: Convert to fraction form
    11,641.27/17,461.61 = 2,876.26/x
  3. Step 3: Cross multiply
    11,641.27x = 17,461.61 × 2,876.26
  4. Step 4: Simplify right side
    11,641.27x = 50,224,028.69
  5. Step 5: Solve for x
    x = 50,224,028.69/11,641.27
  6. Step 6: Final answer
    x = 4,314.31

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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.