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Finding the Fourth Proportional to 11,597.50, 17,381.98 and 5,348.84

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Solution

The fourth proportional to 11,597.50, 17,381.98 and 5,348.84 is: 8,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.50 : 17,381.98 = 5,348.84 : x
  2. Step 2: Convert to fraction form
    11,597.50/17,381.98 = 5,348.84/x
  3. Step 3: Cross multiply
    11,597.50x = 17,381.98 × 5,348.84
  4. Step 4: Simplify right side
    11,597.50x = 92,973,429.90
  5. Step 5: Solve for x
    x = 92,973,429.90/11,597.50
  6. Step 6: Final answer
    x = 8,016.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.