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Finding the Fourth Proportional to 8,036.56, 11,090.09 and 4,451.83

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Solution

The fourth proportional to 8,036.56, 11,090.09 and 4,451.83 is: 6,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.56 : 11,090.09 = 4,451.83 : x
  2. Step 2: Convert to fraction form
    8,036.56/11,090.09 = 4,451.83/x
  3. Step 3: Cross multiply
    8,036.56x = 11,090.09 × 4,451.83
  4. Step 4: Simplify right side
    8,036.56x = 49,371,195.36
  5. Step 5: Solve for x
    x = 49,371,195.36/8,036.56
  6. Step 6: Final answer
    x = 6,143.32

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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.