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Finding the Fourth Proportional to 13,255.93, 18,293.52 and 7,287.75

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Solution

The fourth proportional to 13,255.93, 18,293.52 and 7,287.75 is: 10,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255.93 : 18,293.52 = 7,287.75 : x
  2. Step 2: Convert to fraction form
    13,255.93/18,293.52 = 7,287.75/x
  3. Step 3: Cross multiply
    13,255.93x = 18,293.52 × 7,287.75
  4. Step 4: Simplify right side
    13,255.93x = 133,318,600.38
  5. Step 5: Solve for x
    x = 133,318,600.38/13,255.93
  6. Step 6: Final answer
    x = 10,057.28

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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.