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Finding the Fourth Proportional to 8,353, 12,532.38 and 3,424.24

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Solution

The fourth proportional to 8,353, 12,532.38 and 3,424.24 is: 5,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353 : 12,532.38 = 3,424.24 : x
  2. Step 2: Convert to fraction form
    8,353/12,532.38 = 3,424.24/x
  3. Step 3: Cross multiply
    8,353x = 12,532.38 × 3,424.24
  4. Step 4: Simplify right side
    8,353x = 42,913,876.89
  5. Step 5: Solve for x
    x = 42,913,876.89/8,353
  6. Step 6: Final answer
    x = 5,137.54

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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.