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Finding the Fourth Proportional to 11,054.57, 15,243.84 and 8,537.09

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Solution

The fourth proportional to 11,054.57, 15,243.84 and 8,537.09 is: 11,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.57 : 15,243.84 = 8,537.09 : x
  2. Step 2: Convert to fraction form
    11,054.57/15,243.84 = 8,537.09/x
  3. Step 3: Cross multiply
    11,054.57x = 15,243.84 × 8,537.09
  4. Step 4: Simplify right side
    11,054.57x = 130,137,957.81
  5. Step 5: Solve for x
    x = 130,137,957.81/11,054.57
  6. Step 6: Final answer
    x = 11,772.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.