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Finding the Fourth Proportional to 8,179.47, 11,288.12 and 4,824.25

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Solution

The fourth proportional to 8,179.47, 11,288.12 and 4,824.25 is: 6,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.47 : 11,288.12 = 4,824.25 : x
  2. Step 2: Convert to fraction form
    8,179.47/11,288.12 = 4,824.25/x
  3. Step 3: Cross multiply
    8,179.47x = 11,288.12 × 4,824.25
  4. Step 4: Simplify right side
    8,179.47x = 54,456,712.91
  5. Step 5: Solve for x
    x = 54,456,712.91/8,179.47
  6. Step 6: Final answer
    x = 6,657.73

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