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Finding the Fourth Proportional to 8,429.44, 12,640 and 2,584.64

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Solution

The fourth proportional to 8,429.44, 12,640 and 2,584.64 is: 3,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.44 : 12,640 = 2,584.64 : x
  2. Step 2: Convert to fraction form
    8,429.44/12,640 = 2,584.64/x
  3. Step 3: Cross multiply
    8,429.44x = 12,640 × 2,584.64
  4. Step 4: Simplify right side
    8,429.44x = 32,669,849.60
  5. Step 5: Solve for x
    x = 32,669,849.60/8,429.44
  6. Step 6: Final answer
    x = 3,875.68

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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.