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Finding the Fourth Proportional to 8,548.99, 12,824.84 and 3,283.79

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Solution

The fourth proportional to 8,548.99, 12,824.84 and 3,283.79 is: 4,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.99 : 12,824.84 = 3,283.79 : x
  2. Step 2: Convert to fraction form
    8,548.99/12,824.84 = 3,283.79/x
  3. Step 3: Cross multiply
    8,548.99x = 12,824.84 × 3,283.79
  4. Step 4: Simplify right side
    8,548.99x = 42,114,025.43
  5. Step 5: Solve for x
    x = 42,114,025.43/8,548.99
  6. Step 6: Final answer
    x = 4,926.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.