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Finding the Fourth Proportional to 11,785.16, 16,263.44 and 6,479.84

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Solution

The fourth proportional to 11,785.16, 16,263.44 and 6,479.84 is: 8,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.16 : 16,263.44 = 6,479.84 : x
  2. Step 2: Convert to fraction form
    11,785.16/16,263.44 = 6,479.84/x
  3. Step 3: Cross multiply
    11,785.16x = 16,263.44 × 6,479.84
  4. Step 4: Simplify right side
    11,785.16x = 105,384,489.05
  5. Step 5: Solve for x
    x = 105,384,489.05/11,785.16
  6. Step 6: Final answer
    x = 8,942.13

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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.