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Finding the Fourth Proportional to 11,953.26, 16,496.01 and 6,917.70

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Solution

The fourth proportional to 11,953.26, 16,496.01 and 6,917.70 is: 9,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.26 : 16,496.01 = 6,917.70 : x
  2. Step 2: Convert to fraction form
    11,953.26/16,496.01 = 6,917.70/x
  3. Step 3: Cross multiply
    11,953.26x = 16,496.01 × 6,917.70
  4. Step 4: Simplify right side
    11,953.26x = 114,114,448.38
  5. Step 5: Solve for x
    x = 114,114,448.38/11,953.26
  6. Step 6: Final answer
    x = 9,546.72

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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.