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Finding the Fourth Proportional to 11,637.48, 17,449.26 and 7,893.86

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Solution

The fourth proportional to 11,637.48, 17,449.26 and 7,893.86 is: 11,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.48 : 17,449.26 = 7,893.86 : x
  2. Step 2: Convert to fraction form
    11,637.48/17,449.26 = 7,893.86/x
  3. Step 3: Cross multiply
    11,637.48x = 17,449.26 × 7,893.86
  4. Step 4: Simplify right side
    11,637.48x = 137,742,015.54
  5. Step 5: Solve for x
    x = 137,742,015.54/11,637.48
  6. Step 6: Final answer
    x = 11,836.07

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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.