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Finding the Fourth Proportional to 11,279.62, 16,890.27 and 7,780.42

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Solution

The fourth proportional to 11,279.62, 16,890.27 and 7,780.42 is: 11,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,279.62 : 16,890.27 = 7,780.42 : x
  2. Step 2: Convert to fraction form
    11,279.62/16,890.27 = 7,780.42/x
  3. Step 3: Cross multiply
    11,279.62x = 16,890.27 × 7,780.42
  4. Step 4: Simplify right side
    11,279.62x = 131,413,394.51
  5. Step 5: Solve for x
    x = 131,413,394.51/11,279.62
  6. Step 6: Final answer
    x = 11,650.52

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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.