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Finding the Fourth Proportional to 8,247.61, 12,371.41 and 6,782.32

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Solution

The fourth proportional to 8,247.61, 12,371.41 and 6,782.32 is: 10,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.61 : 12,371.41 = 6,782.32 : x
  2. Step 2: Convert to fraction form
    8,247.61/12,371.41 = 6,782.32/x
  3. Step 3: Cross multiply
    8,247.61x = 12,371.41 × 6,782.32
  4. Step 4: Simplify right side
    8,247.61x = 83,906,799.61
  5. Step 5: Solve for x
    x = 83,906,799.61/8,247.61
  6. Step 6: Final answer
    x = 10,173.47

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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.