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Finding the Fourth Proportional to 11,780.92, 16,257.92 and 6,476.04

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Solution

The fourth proportional to 11,780.92, 16,257.92 and 6,476.04 is: 8,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.92 : 16,257.92 = 6,476.04 : x
  2. Step 2: Convert to fraction form
    11,780.92/16,257.92 = 6,476.04/x
  3. Step 3: Cross multiply
    11,780.92x = 16,257.92 × 6,476.04
  4. Step 4: Simplify right side
    11,780.92x = 105,286,940.24
  5. Step 5: Solve for x
    x = 105,286,940.24/11,780.92
  6. Step 6: Final answer
    x = 8,937.07

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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.