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Finding the Fourth Proportional to 11,902.39, 16,424.70 and 6,597.16

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Solution

The fourth proportional to 11,902.39, 16,424.70 and 6,597.16 is: 9,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.39 : 16,424.70 = 6,597.16 : x
  2. Step 2: Convert to fraction form
    11,902.39/16,424.70 = 6,597.16/x
  3. Step 3: Cross multiply
    11,902.39x = 16,424.70 × 6,597.16
  4. Step 4: Simplify right side
    11,902.39x = 108,356,373.85
  5. Step 5: Solve for x
    x = 108,356,373.85/11,902.39
  6. Step 6: Final answer
    x = 9,103.75

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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.