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Finding the Fourth Proportional to 10,969.17, 16,393.39 and 8,013.76

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Solution

The fourth proportional to 10,969.17, 16,393.39 and 8,013.76 is: 11,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.17 : 16,393.39 = 8,013.76 : x
  2. Step 2: Convert to fraction form
    10,969.17/16,393.39 = 8,013.76/x
  3. Step 3: Cross multiply
    10,969.17x = 16,393.39 × 8,013.76
  4. Step 4: Simplify right side
    10,969.17x = 131,372,678.13
  5. Step 5: Solve for x
    x = 131,372,678.13/10,969.17
  6. Step 6: Final answer
    x = 11,976.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.