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Finding the Fourth Proportional to 8,520, 12,777.87 and 2,972.52

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Solution

The fourth proportional to 8,520, 12,777.87 and 2,972.52 is: 4,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520 : 12,777.87 = 2,972.52 : x
  2. Step 2: Convert to fraction form
    8,520/12,777.87 = 2,972.52/x
  3. Step 3: Cross multiply
    8,520x = 12,777.87 × 2,972.52
  4. Step 4: Simplify right side
    8,520x = 37,982,474.13
  5. Step 5: Solve for x
    x = 37,982,474.13/8,520
  6. Step 6: Final answer
    x = 4,458.04

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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.