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Finding the Fourth Proportional to 11,668.40, 16,102.32 and 6,363.10

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Solution

The fourth proportional to 11,668.40, 16,102.32 and 6,363.10 is: 8,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.40 : 16,102.32 = 6,363.10 : x
  2. Step 2: Convert to fraction form
    11,668.40/16,102.32 = 6,363.10/x
  3. Step 3: Cross multiply
    11,668.40x = 16,102.32 × 6,363.10
  4. Step 4: Simplify right side
    11,668.40x = 102,460,672.39
  5. Step 5: Solve for x
    x = 102,460,672.39/11,668.40
  6. Step 6: Final answer
    x = 8,781.04

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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.