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Finding the Fourth Proportional to 11,594.40, 17,391.87 and 2,829.48

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Solution

The fourth proportional to 11,594.40, 17,391.87 and 2,829.48 is: 4,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.40 : 17,391.87 = 2,829.48 : x
  2. Step 2: Convert to fraction form
    11,594.40/17,391.87 = 2,829.48/x
  3. Step 3: Cross multiply
    11,594.40x = 17,391.87 × 2,829.48
  4. Step 4: Simplify right side
    11,594.40x = 49,209,948.33
  5. Step 5: Solve for x
    x = 49,209,948.33/11,594.40
  6. Step 6: Final answer
    x = 4,244.29

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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.