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Finding the Fourth Proportional to 8,583.44, 12,873.72 and 2,426

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Solution

The fourth proportional to 8,583.44, 12,873.72 and 2,426 is: 3,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.44 : 12,873.72 = 2,426 : x
  2. Step 2: Convert to fraction form
    8,583.44/12,873.72 = 2,426/x
  3. Step 3: Cross multiply
    8,583.44x = 12,873.72 × 2,426
  4. Step 4: Simplify right side
    8,583.44x = 31,231,644.72
  5. Step 5: Solve for x
    x = 31,231,644.72/8,583.44
  6. Step 6: Final answer
    x = 3,638.59

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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.