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Finding the Fourth Proportional to 11,949.66, 16,484.30 and 7,167.30

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Solution

The fourth proportional to 11,949.66, 16,484.30 and 7,167.30 is: 9,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.66 : 16,484.30 = 7,167.30 : x
  2. Step 2: Convert to fraction form
    11,949.66/16,484.30 = 7,167.30/x
  3. Step 3: Cross multiply
    11,949.66x = 16,484.30 × 7,167.30
  4. Step 4: Simplify right side
    11,949.66x = 118,147,923.39
  5. Step 5: Solve for x
    x = 118,147,923.39/11,949.66
  6. Step 6: Final answer
    x = 9,887.14

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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.