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Finding the Fourth Proportional to 8,206.11, 11,324.71 and 4,669.25

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Solution

The fourth proportional to 8,206.11, 11,324.71 and 4,669.25 is: 6,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.11 : 11,324.71 = 4,669.25 : x
  2. Step 2: Convert to fraction form
    8,206.11/11,324.71 = 4,669.25/x
  3. Step 3: Cross multiply
    8,206.11x = 11,324.71 × 4,669.25
  4. Step 4: Simplify right side
    8,206.11x = 52,877,851.38
  5. Step 5: Solve for x
    x = 52,877,851.38/8,206.11
  6. Step 6: Final answer
    x = 6,443.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.