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Finding the Fourth Proportional to 6,728.16, 10,085.76 and 3,605.88

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Solution

The fourth proportional to 6,728.16, 10,085.76 and 3,605.88 is: 5,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.16 : 10,085.76 = 3,605.88 : x
  2. Step 2: Convert to fraction form
    6,728.16/10,085.76 = 3,605.88/x
  3. Step 3: Cross multiply
    6,728.16x = 10,085.76 × 3,605.88
  4. Step 4: Simplify right side
    6,728.16x = 36,368,040.27
  5. Step 5: Solve for x
    x = 36,368,040.27/6,728.16
  6. Step 6: Final answer
    x = 5,405.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.