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Finding the Fourth Proportional to 12,005.28, 18,008.82 and 5,766.68

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Solution

The fourth proportional to 12,005.28, 18,008.82 and 5,766.68 is: 8,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.28 : 18,008.82 = 5,766.68 : x
  2. Step 2: Convert to fraction form
    12,005.28/18,008.82 = 5,766.68/x
  3. Step 3: Cross multiply
    12,005.28x = 18,008.82 × 5,766.68
  4. Step 4: Simplify right side
    12,005.28x = 103,851,102.12
  5. Step 5: Solve for x
    x = 103,851,102.12/12,005.28
  6. Step 6: Final answer
    x = 8,650.45

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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.