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Finding the Fourth Proportional to 8,156.76, 12,232.80 and 3,225.48

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Solution

The fourth proportional to 8,156.76, 12,232.80 and 3,225.48 is: 4,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.76 : 12,232.80 = 3,225.48 : x
  2. Step 2: Convert to fraction form
    8,156.76/12,232.80 = 3,225.48/x
  3. Step 3: Cross multiply
    8,156.76x = 12,232.80 × 3,225.48
  4. Step 4: Simplify right side
    8,156.76x = 39,456,651.74
  5. Step 5: Solve for x
    x = 39,456,651.74/8,156.76
  6. Step 6: Final answer
    x = 4,837.29

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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.