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Finding the Fourth Proportional to 10,601.28, 14,629.92 and 6,185.28

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Solution

The fourth proportional to 10,601.28, 14,629.92 and 6,185.28 is: 8,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.28 : 14,629.92 = 6,185.28 : x
  2. Step 2: Convert to fraction form
    10,601.28/14,629.92 = 6,185.28/x
  3. Step 3: Cross multiply
    10,601.28x = 14,629.92 × 6,185.28
  4. Step 4: Simplify right side
    10,601.28x = 90,490,151.58
  5. Step 5: Solve for x
    x = 90,490,151.58/10,601.28
  6. Step 6: Final answer
    x = 8,535.78

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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.