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Finding the Fourth Proportional to 8,206.76, 11,324.94 and 4,669.58

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Solution

The fourth proportional to 8,206.76, 11,324.94 and 4,669.58 is: 6,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.76 : 11,324.94 = 4,669.58 : x
  2. Step 2: Convert to fraction form
    8,206.76/11,324.94 = 4,669.58/x
  3. Step 3: Cross multiply
    8,206.76x = 11,324.94 × 4,669.58
  4. Step 4: Simplify right side
    8,206.76x = 52,882,713.33
  5. Step 5: Solve for x
    x = 52,882,713.33/8,206.76
  6. Step 6: Final answer
    x = 6,443.80

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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.