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Finding the Fourth Proportional to 10,125.50, 15,196.08 and 7,027.26

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Solution

The fourth proportional to 10,125.50, 15,196.08 and 7,027.26 is: 10,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.50 : 15,196.08 = 7,027.26 : x
  2. Step 2: Convert to fraction form
    10,125.50/15,196.08 = 7,027.26/x
  3. Step 3: Cross multiply
    10,125.50x = 15,196.08 × 7,027.26
  4. Step 4: Simplify right side
    10,125.50x = 106,786,805.14
  5. Step 5: Solve for x
    x = 106,786,805.14/10,125.50
  6. Step 6: Final answer
    x = 10,546.32

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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.