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Finding the Fourth Proportional to 11,732.95, 17,589.12 and 6,098.76

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Solution

The fourth proportional to 11,732.95, 17,589.12 and 6,098.76 is: 9,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.95 : 17,589.12 = 6,098.76 : x
  2. Step 2: Convert to fraction form
    11,732.95/17,589.12 = 6,098.76/x
  3. Step 3: Cross multiply
    11,732.95x = 17,589.12 × 6,098.76
  4. Step 4: Simplify right side
    11,732.95x = 107,271,821.49
  5. Step 5: Solve for x
    x = 107,271,821.49/11,732.95
  6. Step 6: Final answer
    x = 9,142.78

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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.