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Finding the Fourth Proportional to 11,821.50, 16,316.81 and 6,980.47

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Solution

The fourth proportional to 11,821.50, 16,316.81 and 6,980.47 is: 9,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.50 : 16,316.81 = 6,980.47 : x
  2. Step 2: Convert to fraction form
    11,821.50/16,316.81 = 6,980.47/x
  3. Step 3: Cross multiply
    11,821.50x = 16,316.81 × 6,980.47
  4. Step 4: Simplify right side
    11,821.50x = 113,899,002.70
  5. Step 5: Solve for x
    x = 113,899,002.70/11,821.50
  6. Step 6: Final answer
    x = 9,634.90

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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.