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Finding the Fourth Proportional to 8,735.56, 12,055.62 and 5,198.92

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Solution

The fourth proportional to 8,735.56, 12,055.62 and 5,198.92 is: 7,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.56 : 12,055.62 = 5,198.92 : x
  2. Step 2: Convert to fraction form
    8,735.56/12,055.62 = 5,198.92/x
  3. Step 3: Cross multiply
    8,735.56x = 12,055.62 × 5,198.92
  4. Step 4: Simplify right side
    8,735.56x = 62,676,203.93
  5. Step 5: Solve for x
    x = 62,676,203.93/8,735.56
  6. Step 6: Final answer
    x = 7,174.84

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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.