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Finding the Fourth Proportional to 11,673.90, 16,108.56 and 6,638.13

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Solution

The fourth proportional to 11,673.90, 16,108.56 and 6,638.13 is: 9,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.90 : 16,108.56 = 6,638.13 : x
  2. Step 2: Convert to fraction form
    11,673.90/16,108.56 = 6,638.13/x
  3. Step 3: Cross multiply
    11,673.90x = 16,108.56 × 6,638.13
  4. Step 4: Simplify right side
    11,673.90x = 106,930,715.39
  5. Step 5: Solve for x
    x = 106,930,715.39/11,673.90
  6. Step 6: Final answer
    x = 9,159.81

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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.