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Finding the Fourth Proportional to 10,896.94, 16,334.07 and 5,048.74

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Solution

The fourth proportional to 10,896.94, 16,334.07 and 5,048.74 is: 7,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.94 : 16,334.07 = 5,048.74 : x
  2. Step 2: Convert to fraction form
    10,896.94/16,334.07 = 5,048.74/x
  3. Step 3: Cross multiply
    10,896.94x = 16,334.07 × 5,048.74
  4. Step 4: Simplify right side
    10,896.94x = 82,466,472.57
  5. Step 5: Solve for x
    x = 82,466,472.57/10,896.94
  6. Step 6: Final answer
    x = 7,567.86

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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.