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Finding the Fourth Proportional to 8,172.24, 12,256.72 and 3,490.84

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Solution

The fourth proportional to 8,172.24, 12,256.72 and 3,490.84 is: 5,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.24 : 12,256.72 = 3,490.84 : x
  2. Step 2: Convert to fraction form
    8,172.24/12,256.72 = 3,490.84/x
  3. Step 3: Cross multiply
    8,172.24x = 12,256.72 × 3,490.84
  4. Step 4: Simplify right side
    8,172.24x = 42,786,248.44
  5. Step 5: Solve for x
    x = 42,786,248.44/8,172.24
  6. Step 6: Final answer
    x = 5,235.56

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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.