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Finding the Fourth Proportional to 11,496.94, 15,865.64 and 6,462.01

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Solution

The fourth proportional to 11,496.94, 15,865.64 and 6,462.01 is: 8,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 15,865.64 = 6,462.01 : x
  2. Step 2: Convert to fraction form
    11,496.94/15,865.64 = 6,462.01/x
  3. Step 3: Cross multiply
    11,496.94x = 15,865.64 × 6,462.01
  4. Step 4: Simplify right side
    11,496.94x = 102,523,936.09
  5. Step 5: Solve for x
    x = 102,523,936.09/11,496.94
  6. Step 6: Final answer
    x = 8,917.50

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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.