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Finding the Fourth Proportional to 11,536.62, 17,300.34 and 4,138.80

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Solution

The fourth proportional to 11,536.62, 17,300.34 and 4,138.80 is: 6,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.62 : 17,300.34 = 4,138.80 : x
  2. Step 2: Convert to fraction form
    11,536.62/17,300.34 = 4,138.80/x
  3. Step 3: Cross multiply
    11,536.62x = 17,300.34 × 4,138.80
  4. Step 4: Simplify right side
    11,536.62x = 71,602,647.19
  5. Step 5: Solve for x
    x = 71,602,647.19/11,536.62
  6. Step 6: Final answer
    x = 6,206.55

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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.