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Finding the Fourth Proportional to 8,179.79, 11,287.96 and 4,642.92

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Solution

The fourth proportional to 8,179.79, 11,287.96 and 4,642.92 is: 6,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.79 : 11,287.96 = 4,642.92 : x
  2. Step 2: Convert to fraction form
    8,179.79/11,287.96 = 4,642.92/x
  3. Step 3: Cross multiply
    8,179.79x = 11,287.96 × 4,642.92
  4. Step 4: Simplify right side
    8,179.79x = 52,409,083.64
  5. Step 5: Solve for x
    x = 52,409,083.64/8,179.79
  6. Step 6: Final answer
    x = 6,407.15

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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.