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Finding the Fourth Proportional to 8,678.82, 13,018.26 and 2,835.92

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Solution

The fourth proportional to 8,678.82, 13,018.26 and 2,835.92 is: 4,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.82 : 13,018.26 = 2,835.92 : x
  2. Step 2: Convert to fraction form
    8,678.82/13,018.26 = 2,835.92/x
  3. Step 3: Cross multiply
    8,678.82x = 13,018.26 × 2,835.92
  4. Step 4: Simplify right side
    8,678.82x = 36,918,743.90
  5. Step 5: Solve for x
    x = 36,918,743.90/8,678.82
  6. Step 6: Final answer
    x = 4,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.