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Finding the Fourth Proportional to 10,588.57, 15,883.25 and 3,194.08

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Solution

The fourth proportional to 10,588.57, 15,883.25 and 3,194.08 is: 4,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.57 : 15,883.25 = 3,194.08 : x
  2. Step 2: Convert to fraction form
    10,588.57/15,883.25 = 3,194.08/x
  3. Step 3: Cross multiply
    10,588.57x = 15,883.25 × 3,194.08
  4. Step 4: Simplify right side
    10,588.57x = 50,732,371.16
  5. Step 5: Solve for x
    x = 50,732,371.16/10,588.57
  6. Step 6: Final answer
    x = 4,791.24

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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.