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Finding the Fourth Proportional to 6,177.65, 8,525.36 and 3,383.15

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Solution

The fourth proportional to 6,177.65, 8,525.36 and 3,383.15 is: 4,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.65 : 8,525.36 = 3,383.15 : x
  2. Step 2: Convert to fraction form
    6,177.65/8,525.36 = 3,383.15/x
  3. Step 3: Cross multiply
    6,177.65x = 8,525.36 × 3,383.15
  4. Step 4: Simplify right side
    6,177.65x = 28,842,537.52
  5. Step 5: Solve for x
    x = 28,842,537.52/6,177.65
  6. Step 6: Final answer
    x = 4,668.86

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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.