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Finding the Fourth Proportional to 11,815.35, 17,723.03 and 8,106.33

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Solution

The fourth proportional to 11,815.35, 17,723.03 and 8,106.33 is: 12,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.35 : 17,723.03 = 8,106.33 : x
  2. Step 2: Convert to fraction form
    11,815.35/17,723.03 = 8,106.33/x
  3. Step 3: Cross multiply
    11,815.35x = 17,723.03 × 8,106.33
  4. Step 4: Simplify right side
    11,815.35x = 143,668,755.71
  5. Step 5: Solve for x
    x = 143,668,755.71/11,815.35
  6. Step 6: Final answer
    x = 12,159.50

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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.