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Finding the Fourth Proportional to 7,767.74, 11,648.15 and 2,833.92

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Solution

The fourth proportional to 7,767.74, 11,648.15 and 2,833.92 is: 4,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.74 : 11,648.15 = 2,833.92 : x
  2. Step 2: Convert to fraction form
    7,767.74/11,648.15 = 2,833.92/x
  3. Step 3: Cross multiply
    7,767.74x = 11,648.15 × 2,833.92
  4. Step 4: Simplify right side
    7,767.74x = 33,009,911.08
  5. Step 5: Solve for x
    x = 33,009,911.08/7,767.74
  6. Step 6: Final answer
    x = 4,249.62

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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.