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Finding the Fourth Proportional to 11,844, 16,344.50 and 6,538.68

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Solution

The fourth proportional to 11,844, 16,344.50 and 6,538.68 is: 9,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844 : 16,344.50 = 6,538.68 : x
  2. Step 2: Convert to fraction form
    11,844/16,344.50 = 6,538.68/x
  3. Step 3: Cross multiply
    11,844x = 16,344.50 × 6,538.68
  4. Step 4: Simplify right side
    11,844x = 106,871,455.26
  5. Step 5: Solve for x
    x = 106,871,455.26/11,844
  6. Step 6: Final answer
    x = 9,023.26

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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.