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Finding the Fourth Proportional to 11,543, 17,308.34 and 5,990.76

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Solution

The fourth proportional to 11,543, 17,308.34 and 5,990.76 is: 8,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543 : 17,308.34 = 5,990.76 : x
  2. Step 2: Convert to fraction form
    11,543/17,308.34 = 5,990.76/x
  3. Step 3: Cross multiply
    11,543x = 17,308.34 × 5,990.76
  4. Step 4: Simplify right side
    11,543x = 103,690,024.40
  5. Step 5: Solve for x
    x = 103,690,024.40/11,543
  6. Step 6: Final answer
    x = 8,982.94

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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.