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Finding the Fourth Proportional to 8,532.46, 12,790.90 and 7,224.64

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Solution

The fourth proportional to 8,532.46, 12,790.90 and 7,224.64 is: 10,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.46 : 12,790.90 = 7,224.64 : x
  2. Step 2: Convert to fraction form
    8,532.46/12,790.90 = 7,224.64/x
  3. Step 3: Cross multiply
    8,532.46x = 12,790.90 × 7,224.64
  4. Step 4: Simplify right side
    8,532.46x = 92,409,647.78
  5. Step 5: Solve for x
    x = 92,409,647.78/8,532.46
  6. Step 6: Final answer
    x = 10,830.36

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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.