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Finding the Fourth Proportional to 6,166.28, 8,509.60 and 3,371.78

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Solution

The fourth proportional to 6,166.28, 8,509.60 and 3,371.78 is: 4,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.28 : 8,509.60 = 3,371.78 : x
  2. Step 2: Convert to fraction form
    6,166.28/8,509.60 = 3,371.78/x
  3. Step 3: Cross multiply
    6,166.28x = 8,509.60 × 3,371.78
  4. Step 4: Simplify right side
    6,166.28x = 28,692,499.09
  5. Step 5: Solve for x
    x = 28,692,499.09/6,166.28
  6. Step 6: Final answer
    x = 4,653.13

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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.