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Finding the Fourth Proportional to 11,597.62, 17,396.39 and 4,200.35

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Solution

The fourth proportional to 11,597.62, 17,396.39 and 4,200.35 is: 6,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.62 : 17,396.39 = 4,200.35 : x
  2. Step 2: Convert to fraction form
    11,597.62/17,396.39 = 4,200.35/x
  3. Step 3: Cross multiply
    11,597.62x = 17,396.39 × 4,200.35
  4. Step 4: Simplify right side
    11,597.62x = 73,070,949.23
  5. Step 5: Solve for x
    x = 73,070,949.23/11,597.62
  6. Step 6: Final answer
    x = 6,300.51

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