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Finding the Fourth Proportional to 8,179.58, 11,288.07 and 4,642.46

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Solution

The fourth proportional to 8,179.58, 11,288.07 and 4,642.46 is: 6,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.58 : 11,288.07 = 4,642.46 : x
  2. Step 2: Convert to fraction form
    8,179.58/11,288.07 = 4,642.46/x
  3. Step 3: Cross multiply
    8,179.58x = 11,288.07 × 4,642.46
  4. Step 4: Simplify right side
    8,179.58x = 52,404,413.45
  5. Step 5: Solve for x
    x = 52,404,413.45/8,179.58
  6. Step 6: Final answer
    x = 6,406.74

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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.