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Finding the Fourth Proportional to 11,494.41, 17,230.65 and 3,697.75

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Solution

The fourth proportional to 11,494.41, 17,230.65 and 3,697.75 is: 5,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.41 : 17,230.65 = 3,697.75 : x
  2. Step 2: Convert to fraction form
    11,494.41/17,230.65 = 3,697.75/x
  3. Step 3: Cross multiply
    11,494.41x = 17,230.65 × 3,697.75
  4. Step 4: Simplify right side
    11,494.41x = 63,714,636.04
  5. Step 5: Solve for x
    x = 63,714,636.04/11,494.41
  6. Step 6: Final answer
    x = 5,543.10

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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.