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Finding the Fourth Proportional to 8,427, 12,639.98 and 2,583.16

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Solution

The fourth proportional to 8,427, 12,639.98 and 2,583.16 is: 3,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 12,639.98 = 2,583.16 : x
  2. Step 2: Convert to fraction form
    8,427/12,639.98 = 2,583.16/x
  3. Step 3: Cross multiply
    8,427x = 12,639.98 × 2,583.16
  4. Step 4: Simplify right side
    8,427x = 32,651,090.74
  5. Step 5: Solve for x
    x = 32,651,090.74/8,427
  6. Step 6: Final answer
    x = 3,874.58

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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.