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Finding the Fourth Proportional to 11,264.10, 16,896.24 and 3,472.98

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Solution

The fourth proportional to 11,264.10, 16,896.24 and 3,472.98 is: 5,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.10 : 16,896.24 = 3,472.98 : x
  2. Step 2: Convert to fraction form
    11,264.10/16,896.24 = 3,472.98/x
  3. Step 3: Cross multiply
    11,264.10x = 16,896.24 × 3,472.98
  4. Step 4: Simplify right side
    11,264.10x = 58,680,303.60
  5. Step 5: Solve for x
    x = 58,680,303.60/11,264.10
  6. Step 6: Final answer
    x = 5,209.50

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Why These Related Problems?

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