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Finding the Fourth Proportional to 8,452.88, 12,666 and 4,005.44

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Solution

The fourth proportional to 8,452.88, 12,666 and 4,005.44 is: 6,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.88 : 12,666 = 4,005.44 : x
  2. Step 2: Convert to fraction form
    8,452.88/12,666 = 4,005.44/x
  3. Step 3: Cross multiply
    8,452.88x = 12,666 × 4,005.44
  4. Step 4: Simplify right side
    8,452.88x = 50,732,903.04
  5. Step 5: Solve for x
    x = 50,732,903.04/8,452.88
  6. Step 6: Final answer
    x = 6,001.85

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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.