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Finding the Fourth Proportional to 8,478.35, 11,686.65 and 6,682.92

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Solution

The fourth proportional to 8,478.35, 11,686.65 and 6,682.92 is: 9,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.35 : 11,686.65 = 6,682.92 : x
  2. Step 2: Convert to fraction form
    8,478.35/11,686.65 = 6,682.92/x
  3. Step 3: Cross multiply
    8,478.35x = 11,686.65 × 6,682.92
  4. Step 4: Simplify right side
    8,478.35x = 78,100,943.87
  5. Step 5: Solve for x
    x = 78,100,943.87/8,478.35
  6. Step 6: Final answer
    x = 9,211.80

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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.