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Finding the Fourth Proportional to 8,084.00, 12,125.64 and 3,154.54

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Solution

The fourth proportional to 8,084.00, 12,125.64 and 3,154.54 is: 4,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.00 : 12,125.64 = 3,154.54 : x
  2. Step 2: Convert to fraction form
    8,084.00/12,125.64 = 3,154.54/x
  3. Step 3: Cross multiply
    8,084.00x = 12,125.64 × 3,154.54
  4. Step 4: Simplify right side
    8,084.00x = 38,250,816.41
  5. Step 5: Solve for x
    x = 38,250,816.41/8,084.00
  6. Step 6: Final answer
    x = 4,731.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.