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Finding the Fourth Proportional to 11,940.84, 16,478.64 and 6,904.86

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Solution

The fourth proportional to 11,940.84, 16,478.64 and 6,904.86 is: 9,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.84 : 16,478.64 = 6,904.86 : x
  2. Step 2: Convert to fraction form
    11,940.84/16,478.64 = 6,904.86/x
  3. Step 3: Cross multiply
    11,940.84x = 16,478.64 × 6,904.86
  4. Step 4: Simplify right side
    11,940.84x = 113,782,702.19
  5. Step 5: Solve for x
    x = 113,782,702.19/11,940.84
  6. Step 6: Final answer
    x = 9,528.87

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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.