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Finding the Fourth Proportional to 11,814.69, 17,734.40 and 5,245.53

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Solution

The fourth proportional to 11,814.69, 17,734.40 and 5,245.53 is: 7,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.69 : 17,734.40 = 5,245.53 : x
  2. Step 2: Convert to fraction form
    11,814.69/17,734.40 = 5,245.53/x
  3. Step 3: Cross multiply
    11,814.69x = 17,734.40 × 5,245.53
  4. Step 4: Simplify right side
    11,814.69x = 93,026,301.00
  5. Step 5: Solve for x
    x = 93,026,301.00/11,814.69
  6. Step 6: Final answer
    x = 7,873.78

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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.