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Finding the Fourth Proportional to 11,984.68, 16,541.58 and 7,785.64

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Solution

The fourth proportional to 11,984.68, 16,541.58 and 7,785.64 is: 10,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.68 : 16,541.58 = 7,785.64 : x
  2. Step 2: Convert to fraction form
    11,984.68/16,541.58 = 7,785.64/x
  3. Step 3: Cross multiply
    11,984.68x = 16,541.58 × 7,785.64
  4. Step 4: Simplify right side
    11,984.68x = 128,786,786.91
  5. Step 5: Solve for x
    x = 128,786,786.91/11,984.68
  6. Step 6: Final answer
    x = 10,745.95

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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.