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Finding the Fourth Proportional to 8,206.22, 11,324.19 and 4,669.10

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Solution

The fourth proportional to 8,206.22, 11,324.19 and 4,669.10 is: 6,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.22 : 11,324.19 = 4,669.10 : x
  2. Step 2: Convert to fraction form
    8,206.22/11,324.19 = 4,669.10/x
  3. Step 3: Cross multiply
    8,206.22x = 11,324.19 × 4,669.10
  4. Step 4: Simplify right side
    8,206.22x = 52,873,775.53
  5. Step 5: Solve for x
    x = 52,873,775.53/8,206.22
  6. Step 6: Final answer
    x = 6,443.13

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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.