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Finding the Fourth Proportional to 8,182.89, 11,292.38 and 4,456.89

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Solution

The fourth proportional to 8,182.89, 11,292.38 and 4,456.89 is: 6,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.89 : 11,292.38 = 4,456.89 : x
  2. Step 2: Convert to fraction form
    8,182.89/11,292.38 = 4,456.89/x
  3. Step 3: Cross multiply
    8,182.89x = 11,292.38 × 4,456.89
  4. Step 4: Simplify right side
    8,182.89x = 50,328,873.21
  5. Step 5: Solve for x
    x = 50,328,873.21/8,182.89
  6. Step 6: Final answer
    x = 6,150.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.