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Finding the Fourth Proportional to 7,678.52, 11,514.84 and 2,483

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Solution

The fourth proportional to 7,678.52, 11,514.84 and 2,483 is: 3,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.52 : 11,514.84 = 2,483 : x
  2. Step 2: Convert to fraction form
    7,678.52/11,514.84 = 2,483/x
  3. Step 3: Cross multiply
    7,678.52x = 11,514.84 × 2,483
  4. Step 4: Simplify right side
    7,678.52x = 28,591,347.72
  5. Step 5: Solve for x
    x = 28,591,347.72/7,678.52
  6. Step 6: Final answer
    x = 3,723.55

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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.