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Finding the Fourth Proportional to 8,206.74, 11,324.16 and 4,669.56

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Solution

The fourth proportional to 8,206.74, 11,324.16 and 4,669.56 is: 6,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.74 : 11,324.16 = 4,669.56 : x
  2. Step 2: Convert to fraction form
    8,206.74/11,324.16 = 4,669.56/x
  3. Step 3: Cross multiply
    8,206.74x = 11,324.16 × 4,669.56
  4. Step 4: Simplify right side
    8,206.74x = 52,878,844.57
  5. Step 5: Solve for x
    x = 52,878,844.57/8,206.74
  6. Step 6: Final answer
    x = 6,443.34

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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.