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Finding the Fourth Proportional to 8,739.60, 12,059.73 and 5,202.33

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Solution

The fourth proportional to 8,739.60, 12,059.73 and 5,202.33 is: 7,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.60 : 12,059.73 = 5,202.33 : x
  2. Step 2: Convert to fraction form
    8,739.60/12,059.73 = 5,202.33/x
  3. Step 3: Cross multiply
    8,739.60x = 12,059.73 × 5,202.33
  4. Step 4: Simplify right side
    8,739.60x = 62,738,695.17
  5. Step 5: Solve for x
    x = 62,738,695.17/8,739.60
  6. Step 6: Final answer
    x = 7,178.67

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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.