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Finding the Fourth Proportional to 8,564.32, 12,846.21 and 3,630.79

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Solution

The fourth proportional to 8,564.32, 12,846.21 and 3,630.79 is: 5,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.32 : 12,846.21 = 3,630.79 : x
  2. Step 2: Convert to fraction form
    8,564.32/12,846.21 = 3,630.79/x
  3. Step 3: Cross multiply
    8,564.32x = 12,846.21 × 3,630.79
  4. Step 4: Simplify right side
    8,564.32x = 46,641,890.81
  5. Step 5: Solve for x
    x = 46,641,890.81/8,564.32
  6. Step 6: Final answer
    x = 5,446.07

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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.