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Finding the Fourth Proportional to 8,446.32, 12,655.64 and 2,896.67

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Solution

The fourth proportional to 8,446.32, 12,655.64 and 2,896.67 is: 4,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.32 : 12,655.64 = 2,896.67 : x
  2. Step 2: Convert to fraction form
    8,446.32/12,655.64 = 2,896.67/x
  3. Step 3: Cross multiply
    8,446.32x = 12,655.64 × 2,896.67
  4. Step 4: Simplify right side
    8,446.32x = 36,659,251.60
  5. Step 5: Solve for x
    x = 36,659,251.60/8,446.32
  6. Step 6: Final answer
    x = 4,340.26

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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.