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Finding the Fourth Proportional to 8,100.21, 11,182.05 and 5,712.13

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Solution

The fourth proportional to 8,100.21, 11,182.05 and 5,712.13 is: 7,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.21 : 11,182.05 = 5,712.13 : x
  2. Step 2: Convert to fraction form
    8,100.21/11,182.05 = 5,712.13/x
  3. Step 3: Cross multiply
    8,100.21x = 11,182.05 × 5,712.13
  4. Step 4: Simplify right side
    8,100.21x = 63,873,323.27
  5. Step 5: Solve for x
    x = 63,873,323.27/8,100.21
  6. Step 6: Final answer
    x = 7,885.39

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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.