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Finding the Fourth Proportional to 8,026.02, 11,076.48 and 4,490.46

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Solution

The fourth proportional to 8,026.02, 11,076.48 and 4,490.46 is: 6,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.02 : 11,076.48 = 4,490.46 : x
  2. Step 2: Convert to fraction form
    8,026.02/11,076.48 = 4,490.46/x
  3. Step 3: Cross multiply
    8,026.02x = 11,076.48 × 4,490.46
  4. Step 4: Simplify right side
    8,026.02x = 49,738,490.38
  5. Step 5: Solve for x
    x = 49,738,490.38/8,026.02
  6. Step 6: Final answer
    x = 6,197.16

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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.