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Finding the Fourth Proportional to 10,119.96, 15,165.86 and 5,179.16

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Solution

The fourth proportional to 10,119.96, 15,165.86 and 5,179.16 is: 7,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.96 : 15,165.86 = 5,179.16 : x
  2. Step 2: Convert to fraction form
    10,119.96/15,165.86 = 5,179.16/x
  3. Step 3: Cross multiply
    10,119.96x = 15,165.86 × 5,179.16
  4. Step 4: Simplify right side
    10,119.96x = 78,546,427.50
  5. Step 5: Solve for x
    x = 78,546,427.50/10,119.96
  6. Step 6: Final answer
    x = 7,761.54

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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.