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Finding the Fourth Proportional to 11,515.70, 17,271 and 4,120.66

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Solution

The fourth proportional to 11,515.70, 17,271 and 4,120.66 is: 6,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.70 : 17,271 = 4,120.66 : x
  2. Step 2: Convert to fraction form
    11,515.70/17,271 = 4,120.66/x
  3. Step 3: Cross multiply
    11,515.70x = 17,271 × 4,120.66
  4. Step 4: Simplify right side
    11,515.70x = 71,167,918.86
  5. Step 5: Solve for x
    x = 71,167,918.86/11,515.70
  6. Step 6: Final answer
    x = 6,180.08

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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.