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Finding the Fourth Proportional to 10,084.02, 13,917.12 and 5,608.20

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Solution

The fourth proportional to 10,084.02, 13,917.12 and 5,608.20 is: 7,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.02 : 13,917.12 = 5,608.20 : x
  2. Step 2: Convert to fraction form
    10,084.02/13,917.12 = 5,608.20/x
  3. Step 3: Cross multiply
    10,084.02x = 13,917.12 × 5,608.20
  4. Step 4: Simplify right side
    10,084.02x = 78,049,992.38
  5. Step 5: Solve for x
    x = 78,049,992.38/10,084.02
  6. Step 6: Final answer
    x = 7,739.97

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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.