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Finding the Fourth Proportional to 10,782.54, 14,879.46 and 6,066.72

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Solution

The fourth proportional to 10,782.54, 14,879.46 and 6,066.72 is: 8,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.54 : 14,879.46 = 6,066.72 : x
  2. Step 2: Convert to fraction form
    10,782.54/14,879.46 = 6,066.72/x
  3. Step 3: Cross multiply
    10,782.54x = 14,879.46 × 6,066.72
  4. Step 4: Simplify right side
    10,782.54x = 90,269,517.57
  5. Step 5: Solve for x
    x = 90,269,517.57/10,782.54
  6. Step 6: Final answer
    x = 8,371.82

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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.