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Finding the Fourth Proportional to 8,471.30, 11,683.17 and 6,699.83

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Solution

The fourth proportional to 8,471.30, 11,683.17 and 6,699.83 is: 9,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.30 : 11,683.17 = 6,699.83 : x
  2. Step 2: Convert to fraction form
    8,471.30/11,683.17 = 6,699.83/x
  3. Step 3: Cross multiply
    8,471.30x = 11,683.17 × 6,699.83
  4. Step 4: Simplify right side
    8,471.30x = 78,275,194.45
  5. Step 5: Solve for x
    x = 78,275,194.45/8,471.30
  6. Step 6: Final answer
    x = 9,240.05

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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.