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Finding the Fourth Proportional to 11,761.95, 17,637.26 and 6,833.00

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Solution

The fourth proportional to 11,761.95, 17,637.26 and 6,833.00 is: 10,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.95 : 17,637.26 = 6,833.00 : x
  2. Step 2: Convert to fraction form
    11,761.95/17,637.26 = 6,833.00/x
  3. Step 3: Cross multiply
    11,761.95x = 17,637.26 × 6,833.00
  4. Step 4: Simplify right side
    11,761.95x = 120,515,407.51
  5. Step 5: Solve for x
    x = 120,515,407.51/11,761.95
  6. Step 6: Final answer
    x = 10,246.21

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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.