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Finding the Fourth Proportional to 7,383, 11,076.12 and 2,766

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Solution

The fourth proportional to 7,383, 11,076.12 and 2,766 is: 4,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 11,076.12 = 2,766 : x
  2. Step 2: Convert to fraction form
    7,383/11,076.12 = 2,766/x
  3. Step 3: Cross multiply
    7,383x = 11,076.12 × 2,766
  4. Step 4: Simplify right side
    7,383x = 30,636,547.92
  5. Step 5: Solve for x
    x = 30,636,547.92/7,383
  6. Step 6: Final answer
    x = 4,149.61

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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.