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Finding the Fourth Proportional to 10,588.56, 15,883.26 and 3,194.08

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Solution

The fourth proportional to 10,588.56, 15,883.26 and 3,194.08 is: 4,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.56 : 15,883.26 = 3,194.08 : x
  2. Step 2: Convert to fraction form
    10,588.56/15,883.26 = 3,194.08/x
  3. Step 3: Cross multiply
    10,588.56x = 15,883.26 × 3,194.08
  4. Step 4: Simplify right side
    10,588.56x = 50,732,403.10
  5. Step 5: Solve for x
    x = 50,732,403.10/10,588.56
  6. Step 6: Final answer
    x = 4,791.25

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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.