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Finding the Fourth Proportional to 11,689.65, 17,534.54 and 3,898.44

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Solution

The fourth proportional to 11,689.65, 17,534.54 and 3,898.44 is: 5,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.65 : 17,534.54 = 3,898.44 : x
  2. Step 2: Convert to fraction form
    11,689.65/17,534.54 = 3,898.44/x
  3. Step 3: Cross multiply
    11,689.65x = 17,534.54 × 3,898.44
  4. Step 4: Simplify right side
    11,689.65x = 68,357,361.86
  5. Step 5: Solve for x
    x = 68,357,361.86/11,689.65
  6. Step 6: Final answer
    x = 5,847.68

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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.