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Finding the Fourth Proportional to 8,500.14, 12,747.06 and 2,952

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Solution

The fourth proportional to 8,500.14, 12,747.06 and 2,952 is: 4,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.14 : 12,747.06 = 2,952 : x
  2. Step 2: Convert to fraction form
    8,500.14/12,747.06 = 2,952/x
  3. Step 3: Cross multiply
    8,500.14x = 12,747.06 × 2,952
  4. Step 4: Simplify right side
    8,500.14x = 37,629,321.12
  5. Step 5: Solve for x
    x = 37,629,321.12/8,500.14
  6. Step 6: Final answer
    x = 4,426.91

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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.