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Finding the Fourth Proportional to 11,784.48, 16,263 and 6,479.70

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Solution

The fourth proportional to 11,784.48, 16,263 and 6,479.70 is: 8,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.48 : 16,263 = 6,479.70 : x
  2. Step 2: Convert to fraction form
    11,784.48/16,263 = 6,479.70/x
  3. Step 3: Cross multiply
    11,784.48x = 16,263 × 6,479.70
  4. Step 4: Simplify right side
    11,784.48x = 105,379,361.10
  5. Step 5: Solve for x
    x = 105,379,361.10/11,784.48
  6. Step 6: Final answer
    x = 8,942.22

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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.