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Finding the Fourth Proportional to 11,242.37, 16,865.37 and 5,693.47

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Solution

The fourth proportional to 11,242.37, 16,865.37 and 5,693.47 is: 8,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.37 : 16,865.37 = 5,693.47 : x
  2. Step 2: Convert to fraction form
    11,242.37/16,865.37 = 5,693.47/x
  3. Step 3: Cross multiply
    11,242.37x = 16,865.37 × 5,693.47
  4. Step 4: Simplify right side
    11,242.37x = 96,022,435.97
  5. Step 5: Solve for x
    x = 96,022,435.97/11,242.37
  6. Step 6: Final answer
    x = 8,541.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.