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Finding the Fourth Proportional to 8,353.44, 12,532.32 and 2,510.64

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Solution

The fourth proportional to 8,353.44, 12,532.32 and 2,510.64 is: 3,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.44 : 12,532.32 = 2,510.64 : x
  2. Step 2: Convert to fraction form
    8,353.44/12,532.32 = 2,510.64/x
  3. Step 3: Cross multiply
    8,353.44x = 12,532.32 × 2,510.64
  4. Step 4: Simplify right side
    8,353.44x = 31,464,143.88
  5. Step 5: Solve for x
    x = 31,464,143.88/8,353.44
  6. Step 6: Final answer
    x = 3,766.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.