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Finding the Fourth Proportional to 11,800.13, 17,711.12 and 5,960.84

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Solution

The fourth proportional to 11,800.13, 17,711.12 and 5,960.84 is: 8,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.13 : 17,711.12 = 5,960.84 : x
  2. Step 2: Convert to fraction form
    11,800.13/17,711.12 = 5,960.84/x
  3. Step 3: Cross multiply
    11,800.13x = 17,711.12 × 5,960.84
  4. Step 4: Simplify right side
    11,800.13x = 105,573,034.18
  5. Step 5: Solve for x
    x = 105,573,034.18/11,800.13
  6. Step 6: Final answer
    x = 8,946.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.