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Finding the Fourth Proportional to 11,510.40, 17,269.23 and 4,114.70

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Solution

The fourth proportional to 11,510.40, 17,269.23 and 4,114.70 is: 6,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.40 : 17,269.23 = 4,114.70 : x
  2. Step 2: Convert to fraction form
    11,510.40/17,269.23 = 4,114.70/x
  3. Step 3: Cross multiply
    11,510.40x = 17,269.23 × 4,114.70
  4. Step 4: Simplify right side
    11,510.40x = 71,057,614.33
  5. Step 5: Solve for x
    x = 71,057,614.33/11,510.40
  6. Step 6: Final answer
    x = 6,173.34

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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.