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Finding the Fourth Proportional to 8,583.40, 12,874.62 and 2,427.24

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Solution

The fourth proportional to 8,583.40, 12,874.62 and 2,427.24 is: 3,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.40 : 12,874.62 = 2,427.24 : x
  2. Step 2: Convert to fraction form
    8,583.40/12,874.62 = 2,427.24/x
  3. Step 3: Cross multiply
    8,583.40x = 12,874.62 × 2,427.24
  4. Step 4: Simplify right side
    8,583.40x = 31,249,792.65
  5. Step 5: Solve for x
    x = 31,249,792.65/8,583.40
  6. Step 6: Final answer
    x = 3,640.72

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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.