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Finding the Fourth Proportional to 8,474.80, 11,689.36 and 5,817.59

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Solution

The fourth proportional to 8,474.80, 11,689.36 and 5,817.59 is: 8,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.80 : 11,689.36 = 5,817.59 : x
  2. Step 2: Convert to fraction form
    8,474.80/11,689.36 = 5,817.59/x
  3. Step 3: Cross multiply
    8,474.80x = 11,689.36 × 5,817.59
  4. Step 4: Simplify right side
    8,474.80x = 68,003,903.84
  5. Step 5: Solve for x
    x = 68,003,903.84/8,474.80
  6. Step 6: Final answer
    x = 8,024.25

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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.