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Finding the Fourth Proportional to 8,106.57, 11,186.84 and 4,521.39

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Solution

The fourth proportional to 8,106.57, 11,186.84 and 4,521.39 is: 6,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.57 : 11,186.84 = 4,521.39 : x
  2. Step 2: Convert to fraction form
    8,106.57/11,186.84 = 4,521.39/x
  3. Step 3: Cross multiply
    8,106.57x = 11,186.84 × 4,521.39
  4. Step 4: Simplify right side
    8,106.57x = 50,580,043.90
  5. Step 5: Solve for x
    x = 50,580,043.90/8,106.57
  6. Step 6: Final answer
    x = 6,239.39

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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.