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Finding the Fourth Proportional to 8,366.90, 11,546.42 and 4,782.61

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Solution

The fourth proportional to 8,366.90, 11,546.42 and 4,782.61 is: 6,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.90 : 11,546.42 = 4,782.61 : x
  2. Step 2: Convert to fraction form
    8,366.90/11,546.42 = 4,782.61/x
  3. Step 3: Cross multiply
    8,366.90x = 11,546.42 × 4,782.61
  4. Step 4: Simplify right side
    8,366.90x = 55,222,014.28
  5. Step 5: Solve for x
    x = 55,222,014.28/8,366.90
  6. Step 6: Final answer
    x = 6,600.06

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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.