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Finding the Fourth Proportional to 11,949.56, 16,489.14 and 6,643.52

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Solution

The fourth proportional to 11,949.56, 16,489.14 and 6,643.52 is: 9,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.56 : 16,489.14 = 6,643.52 : x
  2. Step 2: Convert to fraction form
    11,949.56/16,489.14 = 6,643.52/x
  3. Step 3: Cross multiply
    11,949.56x = 16,489.14 × 6,643.52
  4. Step 4: Simplify right side
    11,949.56x = 109,545,931.37
  5. Step 5: Solve for x
    x = 109,545,931.37/11,949.56
  6. Step 6: Final answer
    x = 9,167.36

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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.