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Finding the Fourth Proportional to 8,254.24, 12,384.60 and 3,634

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Solution

The fourth proportional to 8,254.24, 12,384.60 and 3,634 is: 5,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.24 : 12,384.60 = 3,634 : x
  2. Step 2: Convert to fraction form
    8,254.24/12,384.60 = 3,634/x
  3. Step 3: Cross multiply
    8,254.24x = 12,384.60 × 3,634
  4. Step 4: Simplify right side
    8,254.24x = 45,005,636.40
  5. Step 5: Solve for x
    x = 45,005,636.40/8,254.24
  6. Step 6: Final answer
    x = 5,452.43

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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.