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Finding the Fourth Proportional to 8,548.52, 12,811.20 and 3,862.68

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Solution

The fourth proportional to 8,548.52, 12,811.20 and 3,862.68 is: 5,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.52 : 12,811.20 = 3,862.68 : x
  2. Step 2: Convert to fraction form
    8,548.52/12,811.20 = 3,862.68/x
  3. Step 3: Cross multiply
    8,548.52x = 12,811.20 × 3,862.68
  4. Step 4: Simplify right side
    8,548.52x = 49,485,622.45
  5. Step 5: Solve for x
    x = 49,485,622.45/8,548.52
  6. Step 6: Final answer
    x = 5,788.79

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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.