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Finding the Fourth Proportional to 8,564.37, 12,847.54 and 3,298.15

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Solution

The fourth proportional to 8,564.37, 12,847.54 and 3,298.15 is: 4,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.37 : 12,847.54 = 3,298.15 : x
  2. Step 2: Convert to fraction form
    8,564.37/12,847.54 = 3,298.15/x
  3. Step 3: Cross multiply
    8,564.37x = 12,847.54 × 3,298.15
  4. Step 4: Simplify right side
    8,564.37x = 42,373,097.56
  5. Step 5: Solve for x
    x = 42,373,097.56/8,564.37
  6. Step 6: Final answer
    x = 4,947.61

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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.