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Finding the Fourth Proportional to 8,659.71, 11,945.88 and 5,674.05

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Solution

The fourth proportional to 8,659.71, 11,945.88 and 5,674.05 is: 7,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.71 : 11,945.88 = 5,674.05 : x
  2. Step 2: Convert to fraction form
    8,659.71/11,945.88 = 5,674.05/x
  3. Step 3: Cross multiply
    8,659.71x = 11,945.88 × 5,674.05
  4. Step 4: Simplify right side
    8,659.71x = 67,781,520.41
  5. Step 5: Solve for x
    x = 67,781,520.41/8,659.71
  6. Step 6: Final answer
    x = 7,827.23

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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.