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Finding the Fourth Proportional to 11,248.36, 15,524.64 and 6,535.37

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Solution

The fourth proportional to 11,248.36, 15,524.64 and 6,535.37 is: 9,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.36 : 15,524.64 = 6,535.37 : x
  2. Step 2: Convert to fraction form
    11,248.36/15,524.64 = 6,535.37/x
  3. Step 3: Cross multiply
    11,248.36x = 15,524.64 × 6,535.37
  4. Step 4: Simplify right side
    11,248.36x = 101,459,305.33
  5. Step 5: Solve for x
    x = 101,459,305.33/11,248.36
  6. Step 6: Final answer
    x = 9,019.92

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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.