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Finding the Fourth Proportional to 11,896.57, 16,417.38 and 6,591.61

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Solution

The fourth proportional to 11,896.57, 16,417.38 and 6,591.61 is: 9,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.57 : 16,417.38 = 6,591.61 : x
  2. Step 2: Convert to fraction form
    11,896.57/16,417.38 = 6,591.61/x
  3. Step 3: Cross multiply
    11,896.57x = 16,417.38 × 6,591.61
  4. Step 4: Simplify right side
    11,896.57x = 108,216,966.18
  5. Step 5: Solve for x
    x = 108,216,966.18/11,896.57
  6. Step 6: Final answer
    x = 9,096.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.