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Finding the Fourth Proportional to 8,343.01, 11,493.57 and 5,820.54

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Solution

The fourth proportional to 8,343.01, 11,493.57 and 5,820.54 is: 8,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.01 : 11,493.57 = 5,820.54 : x
  2. Step 2: Convert to fraction form
    8,343.01/11,493.57 = 5,820.54/x
  3. Step 3: Cross multiply
    8,343.01x = 11,493.57 × 5,820.54
  4. Step 4: Simplify right side
    8,343.01x = 66,898,783.93
  5. Step 5: Solve for x
    x = 66,898,783.93/8,343.01
  6. Step 6: Final answer
    x = 8,018.54

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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.