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Finding the Fourth Proportional to 8,782.31, 13,171.47 and 2,540.93

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Solution

The fourth proportional to 8,782.31, 13,171.47 and 2,540.93 is: 3,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.31 : 13,171.47 = 2,540.93 : x
  2. Step 2: Convert to fraction form
    8,782.31/13,171.47 = 2,540.93/x
  3. Step 3: Cross multiply
    8,782.31x = 13,171.47 × 2,540.93
  4. Step 4: Simplify right side
    8,782.31x = 33,467,717.41
  5. Step 5: Solve for x
    x = 33,467,717.41/8,782.31
  6. Step 6: Final answer
    x = 3,810.81

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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.