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Finding the Fourth Proportional to 8,552.34, 12,829.32 and 3,357

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Solution

The fourth proportional to 8,552.34, 12,829.32 and 3,357 is: 5,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.34 : 12,829.32 = 3,357 : x
  2. Step 2: Convert to fraction form
    8,552.34/12,829.32 = 3,357/x
  3. Step 3: Cross multiply
    8,552.34x = 12,829.32 × 3,357
  4. Step 4: Simplify right side
    8,552.34x = 43,068,027.24
  5. Step 5: Solve for x
    x = 43,068,027.24/8,552.34
  6. Step 6: Final answer
    x = 5,035.82

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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.