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Finding the Fourth Proportional to 8,516.46, 12,774.24 and 4,120.59

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Solution

The fourth proportional to 8,516.46, 12,774.24 and 4,120.59 is: 6,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.46 : 12,774.24 = 4,120.59 : x
  2. Step 2: Convert to fraction form
    8,516.46/12,774.24 = 4,120.59/x
  3. Step 3: Cross multiply
    8,516.46x = 12,774.24 × 4,120.59
  4. Step 4: Simplify right side
    8,516.46x = 52,637,405.60
  5. Step 5: Solve for x
    x = 52,637,405.60/8,516.46
  6. Step 6: Final answer
    x = 6,180.67

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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.