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Finding the Fourth Proportional to 8,458.38, 11,683.72 and 6,493.22

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Solution

The fourth proportional to 8,458.38, 11,683.72 and 6,493.22 is: 8,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.38 : 11,683.72 = 6,493.22 : x
  2. Step 2: Convert to fraction form
    8,458.38/11,683.72 = 6,493.22/x
  3. Step 3: Cross multiply
    8,458.38x = 11,683.72 × 6,493.22
  4. Step 4: Simplify right side
    8,458.38x = 75,864,964.38
  5. Step 5: Solve for x
    x = 75,864,964.38/8,458.38
  6. Step 6: Final answer
    x = 8,969.21

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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.