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Finding the Fourth Proportional to 10,728.24, 14,804.85 and 6,012.42

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Solution

The fourth proportional to 10,728.24, 14,804.85 and 6,012.42 is: 8,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.24 : 14,804.85 = 6,012.42 : x
  2. Step 2: Convert to fraction form
    10,728.24/14,804.85 = 6,012.42/x
  3. Step 3: Cross multiply
    10,728.24x = 14,804.85 × 6,012.42
  4. Step 4: Simplify right side
    10,728.24x = 89,012,976.24
  5. Step 5: Solve for x
    x = 89,012,976.24/10,728.24
  6. Step 6: Final answer
    x = 8,297.07

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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.