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Finding the Fourth Proportional to 8,738.46, 12,059.10 and 5,201.64

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Solution

The fourth proportional to 8,738.46, 12,059.10 and 5,201.64 is: 7,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.46 : 12,059.10 = 5,201.64 : x
  2. Step 2: Convert to fraction form
    8,738.46/12,059.10 = 5,201.64/x
  3. Step 3: Cross multiply
    8,738.46x = 12,059.10 × 5,201.64
  4. Step 4: Simplify right side
    8,738.46x = 62,727,096.92
  5. Step 5: Solve for x
    x = 62,727,096.92/8,738.46
  6. Step 6: Final answer
    x = 7,178.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.