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Finding the Fourth Proportional to 8,585.49, 11,845.92 and 5,228.25

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Solution

The fourth proportional to 8,585.49, 11,845.92 and 5,228.25 is: 7,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.49 : 11,845.92 = 5,228.25 : x
  2. Step 2: Convert to fraction form
    8,585.49/11,845.92 = 5,228.25/x
  3. Step 3: Cross multiply
    8,585.49x = 11,845.92 × 5,228.25
  4. Step 4: Simplify right side
    8,585.49x = 61,933,431.24
  5. Step 5: Solve for x
    x = 61,933,431.24/8,585.49
  6. Step 6: Final answer
    x = 7,213.73

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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.