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Finding the Fourth Proportional to 11,949.53, 16,485.95 and 7,232.09

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Solution

The fourth proportional to 11,949.53, 16,485.95 and 7,232.09 is: 9,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.53 : 16,485.95 = 7,232.09 : x
  2. Step 2: Convert to fraction form
    11,949.53/16,485.95 = 7,232.09/x
  3. Step 3: Cross multiply
    11,949.53x = 16,485.95 × 7,232.09
  4. Step 4: Simplify right side
    11,949.53x = 119,227,837.98
  5. Step 5: Solve for x
    x = 119,227,837.98/11,949.53
  6. Step 6: Final answer
    x = 9,977.62

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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.