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Finding the Fourth Proportional to 11,804.36, 17,693.94 and 6,254.24

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Solution

The fourth proportional to 11,804.36, 17,693.94 and 6,254.24 is: 9,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.36 : 17,693.94 = 6,254.24 : x
  2. Step 2: Convert to fraction form
    11,804.36/17,693.94 = 6,254.24/x
  3. Step 3: Cross multiply
    11,804.36x = 17,693.94 × 6,254.24
  4. Step 4: Simplify right side
    11,804.36x = 110,662,147.31
  5. Step 5: Solve for x
    x = 110,662,147.31/11,804.36
  6. Step 6: Final answer
    x = 9,374.68

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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.