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Finding the Fourth Proportional to 11,493.74, 17,272.90 and 6,814.40

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Solution

The fourth proportional to 11,493.74, 17,272.90 and 6,814.40 is: 10,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.74 : 17,272.90 = 6,814.40 : x
  2. Step 2: Convert to fraction form
    11,493.74/17,272.90 = 6,814.40/x
  3. Step 3: Cross multiply
    11,493.74x = 17,272.90 × 6,814.40
  4. Step 4: Simplify right side
    11,493.74x = 117,704,449.76
  5. Step 5: Solve for x
    x = 117,704,449.76/11,493.74
  6. Step 6: Final answer
    x = 10,240.74

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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.