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Finding the Fourth Proportional to 8,464.32, 12,697.66 and 3,532.83

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Solution

The fourth proportional to 8,464.32, 12,697.66 and 3,532.83 is: 5,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.32 : 12,697.66 = 3,532.83 : x
  2. Step 2: Convert to fraction form
    8,464.32/12,697.66 = 3,532.83/x
  3. Step 3: Cross multiply
    8,464.32x = 12,697.66 × 3,532.83
  4. Step 4: Simplify right side
    8,464.32x = 44,858,674.18
  5. Step 5: Solve for x
    x = 44,858,674.18/8,464.32
  6. Step 6: Final answer
    x = 5,299.74

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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.