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Finding the Fourth Proportional to 8,662.29, 11,953.97 and 4,683.41

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Solution

The fourth proportional to 8,662.29, 11,953.97 and 4,683.41 is: 6,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.29 : 11,953.97 = 4,683.41 : x
  2. Step 2: Convert to fraction form
    8,662.29/11,953.97 = 4,683.41/x
  3. Step 3: Cross multiply
    8,662.29x = 11,953.97 × 4,683.41
  4. Step 4: Simplify right side
    8,662.29x = 55,985,294.58
  5. Step 5: Solve for x
    x = 55,985,294.58/8,662.29
  6. Step 6: Final answer
    x = 6,463.11

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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.