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Finding the Fourth Proportional to 11,983.68, 16,540.20 and 7,784.64

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Solution

The fourth proportional to 11,983.68, 16,540.20 and 7,784.64 is: 10,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.68 : 16,540.20 = 7,784.64 : x
  2. Step 2: Convert to fraction form
    11,983.68/16,540.20 = 7,784.64/x
  3. Step 3: Cross multiply
    11,983.68x = 16,540.20 × 7,784.64
  4. Step 4: Simplify right side
    11,983.68x = 128,759,502.53
  5. Step 5: Solve for x
    x = 128,759,502.53/11,983.68
  6. Step 6: Final answer
    x = 10,744.57

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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.