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Finding the Fourth Proportional to 8,520.32, 12,762.00 and 4,128.57

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Solution

The fourth proportional to 8,520.32, 12,762.00 and 4,128.57 is: 6,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.32 : 12,762.00 = 4,128.57 : x
  2. Step 2: Convert to fraction form
    8,520.32/12,762.00 = 4,128.57/x
  3. Step 3: Cross multiply
    8,520.32x = 12,762.00 × 4,128.57
  4. Step 4: Simplify right side
    8,520.32x = 52,688,725.89
  5. Step 5: Solve for x
    x = 52,688,725.89/8,520.32
  6. Step 6: Final answer
    x = 6,183.89

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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.